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Finding the Fourth Proportional to 2,422.98, 3,635.02 and 863.15

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Solution

The fourth proportional to 2,422.98, 3,635.02 and 863.15 is: 1,294.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.98 : 3,635.02 = 863.15 : x
  2. Step 2: Convert to fraction form
    2,422.98/3,635.02 = 863.15/x
  3. Step 3: Cross multiply
    2,422.98x = 3,635.02 × 863.15
  4. Step 4: Simplify right side
    2,422.98x = 3,137,560.64
  5. Step 5: Solve for x
    x = 3,137,560.64/2,422.98
  6. Step 6: Final answer
    x = 1,294.92

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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.