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Finding the Fourth Proportional to 20,318.58, 30,478.41 and 7,167.96

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Solution

The fourth proportional to 20,318.58, 30,478.41 and 7,167.96 is: 10,752.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,318.58 : 30,478.41 = 7,167.96 : x
  2. Step 2: Convert to fraction form
    20,318.58/30,478.41 = 7,167.96/x
  3. Step 3: Cross multiply
    20,318.58x = 30,478.41 × 7,167.96
  4. Step 4: Simplify right side
    20,318.58x = 218,468,023.74
  5. Step 5: Solve for x
    x = 218,468,023.74/20,318.58
  6. Step 6: Final answer
    x = 10,752.13

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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.