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Finding the Fourth Proportional to 3,657.35, 5,047.13 and 1,978.76

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Solution

The fourth proportional to 3,657.35, 5,047.13 and 1,978.76 is: 2,730.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.35 : 5,047.13 = 1,978.76 : x
  2. Step 2: Convert to fraction form
    3,657.35/5,047.13 = 1,978.76/x
  3. Step 3: Cross multiply
    3,657.35x = 5,047.13 × 1,978.76
  4. Step 4: Simplify right side
    3,657.35x = 9,987,076.52
  5. Step 5: Solve for x
    x = 9,987,076.52/3,657.35
  6. Step 6: Final answer
    x = 2,730.68

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Find fourth proportional to 1,828.68, 2,523.57 and 989.38
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.