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Finding the Fourth Proportional to 4,691.72, 6,471.75 and 3,098.38

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Solution

The fourth proportional to 4,691.72, 6,471.75 and 3,098.38 is: 4,273.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.72 : 6,471.75 = 3,098.38 : x
  2. Step 2: Convert to fraction form
    4,691.72/6,471.75 = 3,098.38/x
  3. Step 3: Cross multiply
    4,691.72x = 6,471.75 × 3,098.38
  4. Step 4: Simplify right side
    4,691.72x = 20,051,940.77
  5. Step 5: Solve for x
    x = 20,051,940.77/4,691.72
  6. Step 6: Final answer
    x = 4,273.90

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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.