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Finding the Fourth Proportional to 21,623, 29,839.76 and 11,687

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Solution

The fourth proportional to 21,623, 29,839.76 and 11,687 is: 16,128.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,623 : 29,839.76 = 11,687 : x
  2. Step 2: Convert to fraction form
    21,623/29,839.76 = 11,687/x
  3. Step 3: Cross multiply
    21,623x = 29,839.76 × 11,687
  4. Step 4: Simplify right side
    21,623x = 348,737,275.12
  5. Step 5: Solve for x
    x = 348,737,275.12/21,623
  6. Step 6: Final answer
    x = 16,128.07

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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.