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Finding the Fourth Proportional to 2,909.70, 4,365.15 and 963.27

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Solution

The fourth proportional to 2,909.70, 4,365.15 and 963.27 is: 1,445.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.70 : 4,365.15 = 963.27 : x
  2. Step 2: Convert to fraction form
    2,909.70/4,365.15 = 963.27/x
  3. Step 3: Cross multiply
    2,909.70x = 4,365.15 × 963.27
  4. Step 4: Simplify right side
    2,909.70x = 4,204,818.04
  5. Step 5: Solve for x
    x = 4,204,818.04/2,909.70
  6. Step 6: Final answer
    x = 1,445.10

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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.