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Finding the Fourth Proportional to 2,582, 3,876.18 and 2,445.92

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Solution

The fourth proportional to 2,582, 3,876.18 and 2,445.92 is: 3,671.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582 : 3,876.18 = 2,445.92 : x
  2. Step 2: Convert to fraction form
    2,582/3,876.18 = 2,445.92/x
  3. Step 3: Cross multiply
    2,582x = 3,876.18 × 2,445.92
  4. Step 4: Simplify right side
    2,582x = 9,480,826.19
  5. Step 5: Solve for x
    x = 9,480,826.19/2,582
  6. Step 6: Final answer
    x = 3,671.89

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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.