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Finding the Fourth Proportional to 36,287.80, 54,290.22 and 31,809.92

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Solution

The fourth proportional to 36,287.80, 54,290.22 and 31,809.92 is: 47,590.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,287.80 : 54,290.22 = 31,809.92 : x
  2. Step 2: Convert to fraction form
    36,287.80/54,290.22 = 31,809.92/x
  3. Step 3: Cross multiply
    36,287.80x = 54,290.22 × 31,809.92
  4. Step 4: Simplify right side
    36,287.80x = 1,726,967,432.64
  5. Step 5: Solve for x
    x = 1,726,967,432.64/36,287.80
  6. Step 6: Final answer
    x = 47,590.86

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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.