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Finding the Fourth Proportional to 9,666.86, 14,471.10 and 8,742.85

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Solution

The fourth proportional to 9,666.86, 14,471.10 and 8,742.85 is: 13,087.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.86 : 14,471.10 = 8,742.85 : x
  2. Step 2: Convert to fraction form
    9,666.86/14,471.10 = 8,742.85/x
  3. Step 3: Cross multiply
    9,666.86x = 14,471.10 × 8,742.85
  4. Step 4: Simplify right side
    9,666.86x = 126,518,620.46
  5. Step 5: Solve for x
    x = 126,518,620.46/9,666.86
  6. Step 6: Final answer
    x = 13,087.88

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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.