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Finding the Fourth Proportional to 2,606.38, 3,909.15 and 963.70

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Solution

The fourth proportional to 2,606.38, 3,909.15 and 963.70 is: 1,445.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.38 : 3,909.15 = 963.70 : x
  2. Step 2: Convert to fraction form
    2,606.38/3,909.15 = 963.70/x
  3. Step 3: Cross multiply
    2,606.38x = 3,909.15 × 963.70
  4. Step 4: Simplify right side
    2,606.38x = 3,767,247.86
  5. Step 5: Solve for x
    x = 3,767,247.86/2,606.38
  6. Step 6: Final answer
    x = 1,445.39

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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.