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Finding the Fourth Proportional to 8,042.40, 12,069 and 5,122.80

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Solution

The fourth proportional to 8,042.40, 12,069 and 5,122.80 is: 7,687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.40 : 12,069 = 5,122.80 : x
  2. Step 2: Convert to fraction form
    8,042.40/12,069 = 5,122.80/x
  3. Step 3: Cross multiply
    8,042.40x = 12,069 × 5,122.80
  4. Step 4: Simplify right side
    8,042.40x = 61,827,073.20
  5. Step 5: Solve for x
    x = 61,827,073.20/8,042.40
  6. Step 6: Final answer
    x = 7,687.64

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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.