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Finding the Fourth Proportional to 3,657.53, 5,047.07 and 2,165.18

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Solution

The fourth proportional to 3,657.53, 5,047.07 and 2,165.18 is: 2,987.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.53 : 5,047.07 = 2,165.18 : x
  2. Step 2: Convert to fraction form
    3,657.53/5,047.07 = 2,165.18/x
  3. Step 3: Cross multiply
    3,657.53x = 5,047.07 × 2,165.18
  4. Step 4: Simplify right side
    3,657.53x = 10,927,778.96
  5. Step 5: Solve for x
    x = 10,927,778.96/3,657.53
  6. Step 6: Final answer
    x = 2,987.75

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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.