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Finding the Fourth Proportional to 3,695.40, 5,541.90 and 1,229.80

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Solution

The fourth proportional to 3,695.40, 5,541.90 and 1,229.80 is: 1,844.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.40 : 5,541.90 = 1,229.80 : x
  2. Step 2: Convert to fraction form
    3,695.40/5,541.90 = 1,229.80/x
  3. Step 3: Cross multiply
    3,695.40x = 5,541.90 × 1,229.80
  4. Step 4: Simplify right side
    3,695.40x = 6,815,428.62
  5. Step 5: Solve for x
    x = 6,815,428.62/3,695.40
  6. Step 6: Final answer
    x = 1,844.30

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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.