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Finding the Fourth Proportional to 3,243.38, 4,478.50 and 3,080.30

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Solution

The fourth proportional to 3,243.38, 4,478.50 and 3,080.30 is: 4,253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.38 : 4,478.50 = 3,080.30 : x
  2. Step 2: Convert to fraction form
    3,243.38/4,478.50 = 3,080.30/x
  3. Step 3: Cross multiply
    3,243.38x = 4,478.50 × 3,080.30
  4. Step 4: Simplify right side
    3,243.38x = 13,795,123.55
  5. Step 5: Solve for x
    x = 13,795,123.55/3,243.38
  6. Step 6: Final answer
    x = 4,253.32

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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.