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Finding the Fourth Proportional to 20,472.79, 30,702.64 and 7,989.78

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Solution

The fourth proportional to 20,472.79, 30,702.64 and 7,989.78 is: 11,982.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,472.79 : 30,702.64 = 7,989.78 : x
  2. Step 2: Convert to fraction form
    20,472.79/30,702.64 = 7,989.78/x
  3. Step 3: Cross multiply
    20,472.79x = 30,702.64 × 7,989.78
  4. Step 4: Simplify right side
    20,472.79x = 245,307,339.02
  5. Step 5: Solve for x
    x = 245,307,339.02/20,472.79
  6. Step 6: Final answer
    x = 11,982.12

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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.