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Finding the Fourth Proportional to 10,711.86, 14,787 and 8,059.92

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Solution

The fourth proportional to 10,711.86, 14,787 and 8,059.92 is: 11,126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.86 : 14,787 = 8,059.92 : x
  2. Step 2: Convert to fraction form
    10,711.86/14,787 = 8,059.92/x
  3. Step 3: Cross multiply
    10,711.86x = 14,787 × 8,059.92
  4. Step 4: Simplify right side
    10,711.86x = 119,182,037.04
  5. Step 5: Solve for x
    x = 119,182,037.04/10,711.86
  6. Step 6: Final answer
    x = 11,126.18

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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.