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Finding the Fourth Proportional to 38,527, 53,167.58 and 20,863

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Solution

The fourth proportional to 38,527, 53,167.58 and 20,863 is: 28,791.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,527 : 53,167.58 = 20,863 : x
  2. Step 2: Convert to fraction form
    38,527/53,167.58 = 20,863/x
  3. Step 3: Cross multiply
    38,527x = 53,167.58 × 20,863
  4. Step 4: Simplify right side
    38,527x = 1,109,235,221.54
  5. Step 5: Solve for x
    x = 1,109,235,221.54/38,527
  6. Step 6: Final answer
    x = 28,791.11

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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.