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Finding the Fourth Proportional to 3,938, 5,437.12 and 2,446.52

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Solution

The fourth proportional to 3,938, 5,437.12 and 2,446.52 is: 3,377.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938 : 5,437.12 = 2,446.52 : x
  2. Step 2: Convert to fraction form
    3,938/5,437.12 = 2,446.52/x
  3. Step 3: Cross multiply
    3,938x = 5,437.12 × 2,446.52
  4. Step 4: Simplify right side
    3,938x = 13,302,022.82
  5. Step 5: Solve for x
    x = 13,302,022.82/3,938
  6. Step 6: Final answer
    x = 3,377.86

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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.