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Finding the Fourth Proportional to 2,912.25, 4,366.89 and 963.75

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Solution

The fourth proportional to 2,912.25, 4,366.89 and 963.75 is: 1,445.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.25 : 4,366.89 = 963.75 : x
  2. Step 2: Convert to fraction form
    2,912.25/4,366.89 = 963.75/x
  3. Step 3: Cross multiply
    2,912.25x = 4,366.89 × 963.75
  4. Step 4: Simplify right side
    2,912.25x = 4,208,590.24
  5. Step 5: Solve for x
    x = 4,208,590.24/2,912.25
  6. Step 6: Final answer
    x = 1,445.13

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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.