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Finding the Fourth Proportional to 8,691.62, 13,084.41 and 7,916.60

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Solution

The fourth proportional to 8,691.62, 13,084.41 and 7,916.60 is: 11,917.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691.62 : 13,084.41 = 7,916.60 : x
  2. Step 2: Convert to fraction form
    8,691.62/13,084.41 = 7,916.60/x
  3. Step 3: Cross multiply
    8,691.62x = 13,084.41 × 7,916.60
  4. Step 4: Simplify right side
    8,691.62x = 103,584,025.14
  5. Step 5: Solve for x
    x = 103,584,025.14/8,691.62
  6. Step 6: Final answer
    x = 11,917.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.