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Finding the Fourth Proportional to 3,449.66, 5,170.64 and 1,369.11

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Solution

The fourth proportional to 3,449.66, 5,170.64 and 1,369.11 is: 2,052.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.66 : 5,170.64 = 1,369.11 : x
  2. Step 2: Convert to fraction form
    3,449.66/5,170.64 = 1,369.11/x
  3. Step 3: Cross multiply
    3,449.66x = 5,170.64 × 1,369.11
  4. Step 4: Simplify right side
    3,449.66x = 7,079,153.83
  5. Step 5: Solve for x
    x = 7,079,153.83/3,449.66
  6. Step 6: Final answer
    x = 2,052.13

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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.