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Finding the Fourth Proportional to 3,542.76, 4,889.28 and 1,971.12

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Solution

The fourth proportional to 3,542.76, 4,889.28 and 1,971.12 is: 2,720.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.76 : 4,889.28 = 1,971.12 : x
  2. Step 2: Convert to fraction form
    3,542.76/4,889.28 = 1,971.12/x
  3. Step 3: Cross multiply
    3,542.76x = 4,889.28 × 1,971.12
  4. Step 4: Simplify right side
    3,542.76x = 9,637,357.59
  5. Step 5: Solve for x
    x = 9,637,357.59/3,542.76
  6. Step 6: Final answer
    x = 2,720.30

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Half scale
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Double scale
Find fourth proportional to 3,543.76, 4,890.66 and 1,972.12
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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.