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Finding the Fourth Proportional to 5,876.43, 8,815.86 and 1,981.14

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Solution

The fourth proportional to 5,876.43, 8,815.86 and 1,981.14 is: 2,972.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.43 : 8,815.86 = 1,981.14 : x
  2. Step 2: Convert to fraction form
    5,876.43/8,815.86 = 1,981.14/x
  3. Step 3: Cross multiply
    5,876.43x = 8,815.86 × 1,981.14
  4. Step 4: Simplify right side
    5,876.43x = 17,465,452.88
  5. Step 5: Solve for x
    x = 17,465,452.88/5,876.43
  6. Step 6: Final answer
    x = 2,972.12

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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.