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Finding the Fourth Proportional to 16,781.88, 23,160.84 and 9,708

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Solution

The fourth proportional to 16,781.88, 23,160.84 and 9,708 is: 13,398.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,781.88 : 23,160.84 = 9,708 : x
  2. Step 2: Convert to fraction form
    16,781.88/23,160.84 = 9,708/x
  3. Step 3: Cross multiply
    16,781.88x = 23,160.84 × 9,708
  4. Step 4: Simplify right side
    16,781.88x = 224,845,434.72
  5. Step 5: Solve for x
    x = 224,845,434.72/16,781.88
  6. Step 6: Final answer
    x = 13,398.11

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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.