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Finding the Fourth Proportional to 21,725, 29,978.58 and 15,354.04

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Solution

The fourth proportional to 21,725, 29,978.58 and 15,354.04 is: 21,187.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,725 : 29,978.58 = 15,354.04 : x
  2. Step 2: Convert to fraction form
    21,725/29,978.58 = 15,354.04/x
  3. Step 3: Cross multiply
    21,725x = 29,978.58 × 15,354.04
  4. Step 4: Simplify right side
    21,725x = 460,292,316.46
  5. Step 5: Solve for x
    x = 460,292,316.46/21,725
  6. Step 6: Final answer
    x = 21,187.22

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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.