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Finding the Fourth Proportional to 3,338.78, 5,007.20 and 1,257.29

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Solution

The fourth proportional to 3,338.78, 5,007.20 and 1,257.29 is: 1,885.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,338.78 : 5,007.20 = 1,257.29 : x
  2. Step 2: Convert to fraction form
    3,338.78/5,007.20 = 1,257.29/x
  3. Step 3: Cross multiply
    3,338.78x = 5,007.20 × 1,257.29
  4. Step 4: Simplify right side
    3,338.78x = 6,295,471.17
  5. Step 5: Solve for x
    x = 6,295,471.17/3,338.78
  6. Step 6: Final answer
    x = 1,885.56

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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.