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Finding the Fourth Proportional to 3,938.46, 5,906.61 and 1,472.46

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Solution

The fourth proportional to 3,938.46, 5,906.61 and 1,472.46 is: 2,208.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938.46 : 5,906.61 = 1,472.46 : x
  2. Step 2: Convert to fraction form
    3,938.46/5,906.61 = 1,472.46/x
  3. Step 3: Cross multiply
    3,938.46x = 5,906.61 × 1,472.46
  4. Step 4: Simplify right side
    3,938.46x = 8,697,246.96
  5. Step 5: Solve for x
    x = 8,697,246.96/3,938.46
  6. Step 6: Final answer
    x = 2,208.29

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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.