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Finding the Fourth Proportional to 9,691.92, 13,376.32 and 5,917.29

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Solution

The fourth proportional to 9,691.92, 13,376.32 and 5,917.29 is: 8,166.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.92 : 13,376.32 = 5,917.29 : x
  2. Step 2: Convert to fraction form
    9,691.92/13,376.32 = 5,917.29/x
  3. Step 3: Cross multiply
    9,691.92x = 13,376.32 × 5,917.29
  4. Step 4: Simplify right side
    9,691.92x = 79,151,564.57
  5. Step 5: Solve for x
    x = 79,151,564.57/9,691.92
  6. Step 6: Final answer
    x = 8,166.76

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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.