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Finding the Fourth Proportional to 18,470.52, 27,705.92 and 7,380

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Solution

The fourth proportional to 18,470.52, 27,705.92 and 7,380 is: 11,070.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,470.52 : 27,705.92 = 7,380 : x
  2. Step 2: Convert to fraction form
    18,470.52/27,705.92 = 7,380/x
  3. Step 3: Cross multiply
    18,470.52x = 27,705.92 × 7,380
  4. Step 4: Simplify right side
    18,470.52x = 204,469,652.70
  5. Step 5: Solve for x
    x = 204,469,652.70/18,470.52
  6. Step 6: Final answer
    x = 11,070.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.