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Finding the Fourth Proportional to 8,024.68, 12,042.78 and 2,831.08

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Solution

The fourth proportional to 8,024.68, 12,042.78 and 2,831.08 is: 4,248.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.68 : 12,042.78 = 2,831.08 : x
  2. Step 2: Convert to fraction form
    8,024.68/12,042.78 = 2,831.08/x
  3. Step 3: Cross multiply
    8,024.68x = 12,042.78 × 2,831.08
  4. Step 4: Simplify right side
    8,024.68x = 34,094,073.60
  5. Step 5: Solve for x
    x = 34,094,073.60/8,024.68
  6. Step 6: Final answer
    x = 4,248.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.