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Finding the Fourth Proportional to 27,342, 37,727.87 and 15,405.08

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Solution

The fourth proportional to 27,342, 37,727.87 and 15,405.08 is: 21,256.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,342 : 37,727.87 = 15,405.08 : x
  2. Step 2: Convert to fraction form
    27,342/37,727.87 = 15,405.08/x
  3. Step 3: Cross multiply
    27,342x = 37,727.87 × 15,405.08
  4. Step 4: Simplify right side
    27,342x = 581,200,589.91
  5. Step 5: Solve for x
    x = 581,200,589.91/27,342
  6. Step 6: Final answer
    x = 21,256.70

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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.