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Finding the Fourth Proportional to 3,309.48, 4,964.52 and 1,229.40

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Solution

The fourth proportional to 3,309.48, 4,964.52 and 1,229.40 is: 1,844.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.48 : 4,964.52 = 1,229.40 : x
  2. Step 2: Convert to fraction form
    3,309.48/4,964.52 = 1,229.40/x
  3. Step 3: Cross multiply
    3,309.48x = 4,964.52 × 1,229.40
  4. Step 4: Simplify right side
    3,309.48x = 6,103,380.89
  5. Step 5: Solve for x
    x = 6,103,380.89/3,309.48
  6. Step 6: Final answer
    x = 1,844.21

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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.