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Finding the Fourth Proportional to 2,425.67, 3,638.10 and 865.44

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Solution

The fourth proportional to 2,425.67, 3,638.10 and 865.44 is: 1,298.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.67 : 3,638.10 = 865.44 : x
  2. Step 2: Convert to fraction form
    2,425.67/3,638.10 = 865.44/x
  3. Step 3: Cross multiply
    2,425.67x = 3,638.10 × 865.44
  4. Step 4: Simplify right side
    2,425.67x = 3,148,557.26
  5. Step 5: Solve for x
    x = 3,148,557.26/2,425.67
  6. Step 6: Final answer
    x = 1,298.02

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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.