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Finding the Fourth Proportional to 8,098.78, 12,144 and 3,712.48

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Solution

The fourth proportional to 8,098.78, 12,144 and 3,712.48 is: 5,566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.78 : 12,144 = 3,712.48 : x
  2. Step 2: Convert to fraction form
    8,098.78/12,144 = 3,712.48/x
  3. Step 3: Cross multiply
    8,098.78x = 12,144 × 3,712.48
  4. Step 4: Simplify right side
    8,098.78x = 45,084,357.12
  5. Step 5: Solve for x
    x = 45,084,357.12/8,098.78
  6. Step 6: Final answer
    x = 5,566.81

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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.