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Finding the Fourth Proportional to 10,472.83, 15,709.28 and 9,947.27

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Solution

The fourth proportional to 10,472.83, 15,709.28 and 9,947.27 is: 14,920.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.83 : 15,709.28 = 9,947.27 : x
  2. Step 2: Convert to fraction form
    10,472.83/15,709.28 = 9,947.27/x
  3. Step 3: Cross multiply
    10,472.83x = 15,709.28 × 9,947.27
  4. Step 4: Simplify right side
    10,472.83x = 156,264,439.20
  5. Step 5: Solve for x
    x = 156,264,439.20/10,472.83
  6. Step 6: Final answer
    x = 14,920.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.