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Finding the Fourth Proportional to 3,657.61, 5,489.49 and 3,426.96

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Solution

The fourth proportional to 3,657.61, 5,489.49 and 3,426.96 is: 5,143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.61 : 5,489.49 = 3,426.96 : x
  2. Step 2: Convert to fraction form
    3,657.61/5,489.49 = 3,426.96/x
  3. Step 3: Cross multiply
    3,657.61x = 5,489.49 × 3,426.96
  4. Step 4: Simplify right side
    3,657.61x = 18,812,262.65
  5. Step 5: Solve for x
    x = 18,812,262.65/3,657.61
  6. Step 6: Final answer
    x = 5,143.32

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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.