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Finding the Fourth Proportional to 3,540.03, 5,309.70 and 1,074.87

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Solution

The fourth proportional to 3,540.03, 5,309.70 and 1,074.87 is: 1,612.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.03 : 5,309.70 = 1,074.87 : x
  2. Step 2: Convert to fraction form
    3,540.03/5,309.70 = 1,074.87/x
  3. Step 3: Cross multiply
    3,540.03x = 5,309.70 × 1,074.87
  4. Step 4: Simplify right side
    3,540.03x = 5,707,244.85
  5. Step 5: Solve for x
    x = 5,707,244.85/3,540.03
  6. Step 6: Final answer
    x = 1,612.20

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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.