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Finding the Fourth Proportional to 27,684, 38,202.84 and 15,748.92

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Solution

The fourth proportional to 27,684, 38,202.84 and 15,748.92 is: 21,732.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,684 : 38,202.84 = 15,748.92 : x
  2. Step 2: Convert to fraction form
    27,684/38,202.84 = 15,748.92/x
  3. Step 3: Cross multiply
    27,684x = 38,202.84 × 15,748.92
  4. Step 4: Simplify right side
    27,684x = 601,653,470.93
  5. Step 5: Solve for x
    x = 601,653,470.93/27,684
  6. Step 6: Final answer
    x = 21,732.90

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1.5x scale

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.