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Finding the Fourth Proportional to 3,986.17, 5,979.24 and 1,024.61

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Solution

The fourth proportional to 3,986.17, 5,979.24 and 1,024.61 is: 1,536.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.17 : 5,979.24 = 1,024.61 : x
  2. Step 2: Convert to fraction form
    3,986.17/5,979.24 = 1,024.61/x
  3. Step 3: Cross multiply
    3,986.17x = 5,979.24 × 1,024.61
  4. Step 4: Simplify right side
    3,986.17x = 6,126,383.97
  5. Step 5: Solve for x
    x = 6,126,383.97/3,986.17
  6. Step 6: Final answer
    x = 1,536.91

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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.