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Finding the Fourth Proportional to 3,678.88, 5,071.88 and 2,497.90

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Solution

The fourth proportional to 3,678.88, 5,071.88 and 2,497.90 is: 3,443.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.88 : 5,071.88 = 2,497.90 : x
  2. Step 2: Convert to fraction form
    3,678.88/5,071.88 = 2,497.90/x
  3. Step 3: Cross multiply
    3,678.88x = 5,071.88 × 2,497.90
  4. Step 4: Simplify right side
    3,678.88x = 12,669,042.62
  5. Step 5: Solve for x
    x = 12,669,042.62/3,678.88
  6. Step 6: Final answer
    x = 3,443.73

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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.