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Finding the Fourth Proportional to 8,919.75, 12,306.50 and 5,142.44

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Solution

The fourth proportional to 8,919.75, 12,306.50 and 5,142.44 is: 7,094.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,919.75 : 12,306.50 = 5,142.44 : x
  2. Step 2: Convert to fraction form
    8,919.75/12,306.50 = 5,142.44/x
  3. Step 3: Cross multiply
    8,919.75x = 12,306.50 × 5,142.44
  4. Step 4: Simplify right side
    8,919.75x = 63,285,350.62
  5. Step 5: Solve for x
    x = 63,285,350.62/8,919.75
  6. Step 6: Final answer
    x = 7,094.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.