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Finding the Fourth Proportional to 3,744.90, 5,618.70 and 3,609.90

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Solution

The fourth proportional to 3,744.90, 5,618.70 and 3,609.90 is: 5,416.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.90 : 5,618.70 = 3,609.90 : x
  2. Step 2: Convert to fraction form
    3,744.90/5,618.70 = 3,609.90/x
  3. Step 3: Cross multiply
    3,744.90x = 5,618.70 × 3,609.90
  4. Step 4: Simplify right side
    3,744.90x = 20,282,945.13
  5. Step 5: Solve for x
    x = 20,282,945.13/3,744.90
  6. Step 6: Final answer
    x = 5,416.15

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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.