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Finding the Fourth Proportional to 3,308.32, 4,964.42 and 1,229.76

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Solution

The fourth proportional to 3,308.32, 4,964.42 and 1,229.76 is: 1,845.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,308.32 : 4,964.42 = 1,229.76 : x
  2. Step 2: Convert to fraction form
    3,308.32/4,964.42 = 1,229.76/x
  3. Step 3: Cross multiply
    3,308.32x = 4,964.42 × 1,229.76
  4. Step 4: Simplify right side
    3,308.32x = 6,105,045.14
  5. Step 5: Solve for x
    x = 6,105,045.14/3,308.32
  6. Step 6: Final answer
    x = 1,845.36

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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.