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Finding the Fourth Proportional to 26,920.50, 40,381.11 and 8,452.50

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Solution

The fourth proportional to 26,920.50, 40,381.11 and 8,452.50 is: 12,678.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,920.50 : 40,381.11 = 8,452.50 : x
  2. Step 2: Convert to fraction form
    26,920.50/40,381.11 = 8,452.50/x
  3. Step 3: Cross multiply
    26,920.50x = 40,381.11 × 8,452.50
  4. Step 4: Simplify right side
    26,920.50x = 341,321,332.28
  5. Step 5: Solve for x
    x = 341,321,332.28/26,920.50
  6. Step 6: Final answer
    x = 12,678.86

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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.