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Finding the Fourth Proportional to 2,909.56, 4,364.88 and 963.16

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Solution

The fourth proportional to 2,909.56, 4,364.88 and 963.16 is: 1,444.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.56 : 4,364.88 = 963.16 : x
  2. Step 2: Convert to fraction form
    2,909.56/4,364.88 = 963.16/x
  3. Step 3: Cross multiply
    2,909.56x = 4,364.88 × 963.16
  4. Step 4: Simplify right side
    2,909.56x = 4,204,077.82
  5. Step 5: Solve for x
    x = 4,204,077.82/2,909.56
  6. Step 6: Final answer
    x = 1,444.92

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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.