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Finding the Fourth Proportional to 20,250, 30,377.19 and 5,458.86

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Solution

The fourth proportional to 20,250, 30,377.19 and 5,458.86 is: 8,188.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,250 : 30,377.19 = 5,458.86 : x
  2. Step 2: Convert to fraction form
    20,250/30,377.19 = 5,458.86/x
  3. Step 3: Cross multiply
    20,250x = 30,377.19 × 5,458.86
  4. Step 4: Simplify right side
    20,250x = 165,824,827.40
  5. Step 5: Solve for x
    x = 165,824,827.40/20,250
  6. Step 6: Final answer
    x = 8,188.88

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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.