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Finding the Fourth Proportional to 3,979.76, 5,490.60 and 2,582

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Solution

The fourth proportional to 3,979.76, 5,490.60 and 2,582 is: 3,562.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,979.76 : 5,490.60 = 2,582 : x
  2. Step 2: Convert to fraction form
    3,979.76/5,490.60 = 2,582/x
  3. Step 3: Cross multiply
    3,979.76x = 5,490.60 × 2,582
  4. Step 4: Simplify right side
    3,979.76x = 14,176,729.20
  5. Step 5: Solve for x
    x = 14,176,729.20/3,979.76
  6. Step 6: Final answer
    x = 3,562.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.