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Finding the Fourth Proportional to 10,711.74, 16,070 and 5,169.73

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Solution

The fourth proportional to 10,711.74, 16,070 and 5,169.73 is: 7,755.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.74 : 16,070 = 5,169.73 : x
  2. Step 2: Convert to fraction form
    10,711.74/16,070 = 5,169.73/x
  3. Step 3: Cross multiply
    10,711.74x = 16,070 × 5,169.73
  4. Step 4: Simplify right side
    10,711.74x = 83,077,561.10
  5. Step 5: Solve for x
    x = 83,077,561.10/10,711.74
  6. Step 6: Final answer
    x = 7,755.75

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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.