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Finding the Fourth Proportional to 26,920.38, 40,385.97 and 9,385.50

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Solution

The fourth proportional to 26,920.38, 40,385.97 and 9,385.50 is: 14,080.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,920.38 : 40,385.97 = 9,385.50 : x
  2. Step 2: Convert to fraction form
    26,920.38/40,385.97 = 9,385.50/x
  3. Step 3: Cross multiply
    26,920.38x = 40,385.97 × 9,385.50
  4. Step 4: Simplify right side
    26,920.38x = 379,042,521.44
  5. Step 5: Solve for x
    x = 379,042,521.44/26,920.38
  6. Step 6: Final answer
    x = 14,080.13

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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.