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Finding the Fourth Proportional to 40,282.50, 55,589.04 and 22,377

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Solution

The fourth proportional to 40,282.50, 55,589.04 and 22,377 is: 30,879.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,282.50 : 55,589.04 = 22,377 : x
  2. Step 2: Convert to fraction form
    40,282.50/55,589.04 = 22,377/x
  3. Step 3: Cross multiply
    40,282.50x = 55,589.04 × 22,377
  4. Step 4: Simplify right side
    40,282.50x = 1,243,915,948.08
  5. Step 5: Solve for x
    x = 1,243,915,948.08/40,282.50
  6. Step 6: Final answer
    x = 30,879.81

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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.