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Finding the Fourth Proportional to 3,242.75, 4,863.86 and 870.64

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Solution

The fourth proportional to 3,242.75, 4,863.86 and 870.64 is: 1,305.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.75 : 4,863.86 = 870.64 : x
  2. Step 2: Convert to fraction form
    3,242.75/4,863.86 = 870.64/x
  3. Step 3: Cross multiply
    3,242.75x = 4,863.86 × 870.64
  4. Step 4: Simplify right side
    3,242.75x = 4,234,654.56
  5. Step 5: Solve for x
    x = 4,234,654.56/3,242.75
  6. Step 6: Final answer
    x = 1,305.88

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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.