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Finding the Fourth Proportional to 2,616.71, 3,924.17 and 861.62

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Solution

The fourth proportional to 2,616.71, 3,924.17 and 861.62 is: 1,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.71 : 3,924.17 = 861.62 : x
  2. Step 2: Convert to fraction form
    2,616.71/3,924.17 = 861.62/x
  3. Step 3: Cross multiply
    2,616.71x = 3,924.17 × 861.62
  4. Step 4: Simplify right side
    2,616.71x = 3,381,139.05
  5. Step 5: Solve for x
    x = 3,381,139.05/2,616.71
  6. Step 6: Final answer
    x = 1,292.13

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1.5x scale

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.