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Finding the Fourth Proportional to 11,397.31, 17,101.88 and 8,623.16

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Solution

The fourth proportional to 11,397.31, 17,101.88 and 8,623.16 is: 12,939.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.31 : 17,101.88 = 8,623.16 : x
  2. Step 2: Convert to fraction form
    11,397.31/17,101.88 = 8,623.16/x
  3. Step 3: Cross multiply
    11,397.31x = 17,101.88 × 8,623.16
  4. Step 4: Simplify right side
    11,397.31x = 147,472,183.59
  5. Step 5: Solve for x
    x = 147,472,183.59/11,397.31
  6. Step 6: Final answer
    x = 12,939.21

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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.