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Finding the Fourth Proportional to 8,274.72, 12,414.78 and 3,081

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Solution

The fourth proportional to 8,274.72, 12,414.78 and 3,081 is: 4,622.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.72 : 12,414.78 = 3,081 : x
  2. Step 2: Convert to fraction form
    8,274.72/12,414.78 = 3,081/x
  3. Step 3: Cross multiply
    8,274.72x = 12,414.78 × 3,081
  4. Step 4: Simplify right side
    8,274.72x = 38,249,937.18
  5. Step 5: Solve for x
    x = 38,249,937.18/8,274.72
  6. Step 6: Final answer
    x = 4,622.51

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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.