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Finding the Fourth Proportional to 21,614.80, 29,820.24 and 13,654

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Solution

The fourth proportional to 21,614.80, 29,820.24 and 13,654 is: 18,837.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,614.80 : 29,820.24 = 13,654 : x
  2. Step 2: Convert to fraction form
    21,614.80/29,820.24 = 13,654/x
  3. Step 3: Cross multiply
    21,614.80x = 29,820.24 × 13,654
  4. Step 4: Simplify right side
    21,614.80x = 407,165,556.96
  5. Step 5: Solve for x
    x = 407,165,556.96/21,614.80
  6. Step 6: Final answer
    x = 18,837.35

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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.