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Finding the Fourth Proportional to 3,449.61, 5,174.01 and 984.38

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Solution

The fourth proportional to 3,449.61, 5,174.01 and 984.38 is: 1,476.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.61 : 5,174.01 = 984.38 : x
  2. Step 2: Convert to fraction form
    3,449.61/5,174.01 = 984.38/x
  3. Step 3: Cross multiply
    3,449.61x = 5,174.01 × 984.38
  4. Step 4: Simplify right side
    3,449.61x = 5,093,166.09
  5. Step 5: Solve for x
    x = 5,093,166.09/3,449.61
  6. Step 6: Final answer
    x = 1,476.45

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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.