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Finding the Fourth Proportional to 27,654.56, 38,164.08 and 15,080

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Solution

The fourth proportional to 27,654.56, 38,164.08 and 15,080 is: 20,810.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,654.56 : 38,164.08 = 15,080 : x
  2. Step 2: Convert to fraction form
    27,654.56/38,164.08 = 15,080/x
  3. Step 3: Cross multiply
    27,654.56x = 38,164.08 × 15,080
  4. Step 4: Simplify right side
    27,654.56x = 575,514,326.40
  5. Step 5: Solve for x
    x = 575,514,326.40/27,654.56
  6. Step 6: Final answer
    x = 20,810.83

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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.