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Finding the Fourth Proportional to 3,397.70, 4,681.80 and 2,731.88

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Solution

The fourth proportional to 3,397.70, 4,681.80 and 2,731.88 is: 3,764.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.70 : 4,681.80 = 2,731.88 : x
  2. Step 2: Convert to fraction form
    3,397.70/4,681.80 = 2,731.88/x
  3. Step 3: Cross multiply
    3,397.70x = 4,681.80 × 2,731.88
  4. Step 4: Simplify right side
    3,397.70x = 12,790,115.78
  5. Step 5: Solve for x
    x = 12,790,115.78/3,397.70
  6. Step 6: Final answer
    x = 3,764.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.