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Finding the Fourth Proportional to 3,142.52, 4,337.17 and 1,947.72

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Solution

The fourth proportional to 3,142.52, 4,337.17 and 1,947.72 is: 2,688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.52 : 4,337.17 = 1,947.72 : x
  2. Step 2: Convert to fraction form
    3,142.52/4,337.17 = 1,947.72/x
  3. Step 3: Cross multiply
    3,142.52x = 4,337.17 × 1,947.72
  4. Step 4: Simplify right side
    3,142.52x = 8,447,597.43
  5. Step 5: Solve for x
    x = 8,447,597.43/3,142.52
  6. Step 6: Final answer
    x = 2,688.16

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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.