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Finding the Fourth Proportional to 3,641.69, 5,462.90 and 1,449.90

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Solution

The fourth proportional to 3,641.69, 5,462.90 and 1,449.90 is: 2,175.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.69 : 5,462.90 = 1,449.90 : x
  2. Step 2: Convert to fraction form
    3,641.69/5,462.90 = 1,449.90/x
  3. Step 3: Cross multiply
    3,641.69x = 5,462.90 × 1,449.90
  4. Step 4: Simplify right side
    3,641.69x = 7,920,651.46
  5. Step 5: Solve for x
    x = 7,920,651.46/3,641.69
  6. Step 6: Final answer
    x = 2,175.00

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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.