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Finding the Fourth Proportional to 15,721, 21,699.84 and 10,132

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Solution

The fourth proportional to 15,721, 21,699.84 and 10,132 is: 13,985.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,721 : 21,699.84 = 10,132 : x
  2. Step 2: Convert to fraction form
    15,721/21,699.84 = 10,132/x
  3. Step 3: Cross multiply
    15,721x = 21,699.84 × 10,132
  4. Step 4: Simplify right side
    15,721x = 219,862,778.88
  5. Step 5: Solve for x
    x = 219,862,778.88/15,721
  6. Step 6: Final answer
    x = 13,985.29

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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.