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Finding the Fourth Proportional to 3,245.76, 4,872.10 and 1,397.78

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Solution

The fourth proportional to 3,245.76, 4,872.10 and 1,397.78 is: 2,098.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.76 : 4,872.10 = 1,397.78 : x
  2. Step 2: Convert to fraction form
    3,245.76/4,872.10 = 1,397.78/x
  3. Step 3: Cross multiply
    3,245.76x = 4,872.10 × 1,397.78
  4. Step 4: Simplify right side
    3,245.76x = 6,810,123.94
  5. Step 5: Solve for x
    x = 6,810,123.94/3,245.76
  6. Step 6: Final answer
    x = 2,098.16

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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.