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Finding the Fourth Proportional to 21,101.16, 31,656 and 9,414.38

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Solution

The fourth proportional to 21,101.16, 31,656 and 9,414.38 is: 14,123.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,101.16 : 31,656 = 9,414.38 : x
  2. Step 2: Convert to fraction form
    21,101.16/31,656 = 9,414.38/x
  3. Step 3: Cross multiply
    21,101.16x = 31,656 × 9,414.38
  4. Step 4: Simplify right side
    21,101.16x = 298,021,613.28
  5. Step 5: Solve for x
    x = 298,021,613.28/21,101.16
  6. Step 6: Final answer
    x = 14,123.47

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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.