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Finding the Fourth Proportional to 2,609, 3,909.96 and 963.96

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Solution

The fourth proportional to 2,609, 3,909.96 and 963.96 is: 1,444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609 : 3,909.96 = 963.96 : x
  2. Step 2: Convert to fraction form
    2,609/3,909.96 = 963.96/x
  3. Step 3: Cross multiply
    2,609x = 3,909.96 × 963.96
  4. Step 4: Simplify right side
    2,609x = 3,769,045.04
  5. Step 5: Solve for x
    x = 3,769,045.04/2,609
  6. Step 6: Final answer
    x = 1,444.63

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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.