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Finding the Fourth Proportional to 3,449.36, 5,174.20 and 984.53

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Solution

The fourth proportional to 3,449.36, 5,174.20 and 984.53 is: 1,476.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.36 : 5,174.20 = 984.53 : x
  2. Step 2: Convert to fraction form
    3,449.36/5,174.20 = 984.53/x
  3. Step 3: Cross multiply
    3,449.36x = 5,174.20 × 984.53
  4. Step 4: Simplify right side
    3,449.36x = 5,094,165.60
  5. Step 5: Solve for x
    x = 5,094,165.60/3,449.36
  6. Step 6: Final answer
    x = 1,476.85

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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.