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Finding the Fourth Proportional to 8,538.60, 12,818.70 and 7,957.20

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Solution

The fourth proportional to 8,538.60, 12,818.70 and 7,957.20 is: 11,945.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.60 : 12,818.70 = 7,957.20 : x
  2. Step 2: Convert to fraction form
    8,538.60/12,818.70 = 7,957.20/x
  3. Step 3: Cross multiply
    8,538.60x = 12,818.70 × 7,957.20
  4. Step 4: Simplify right side
    8,538.60x = 102,000,959.64
  5. Step 5: Solve for x
    x = 102,000,959.64/8,538.60
  6. Step 6: Final answer
    x = 11,945.86

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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.