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Finding the Fourth Proportional to 20,364.72, 30,549 and 6,324.90

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Solution

The fourth proportional to 20,364.72, 30,549 and 6,324.90 is: 9,487.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,364.72 : 30,549 = 6,324.90 : x
  2. Step 2: Convert to fraction form
    20,364.72/30,549 = 6,324.90/x
  3. Step 3: Cross multiply
    20,364.72x = 30,549 × 6,324.90
  4. Step 4: Simplify right side
    20,364.72x = 193,219,370.10
  5. Step 5: Solve for x
    x = 193,219,370.10/20,364.72
  6. Step 6: Final answer
    x = 9,487.95

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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.