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Finding the Fourth Proportional to 3,451.44, 5,176.43 and 985.61

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Solution

The fourth proportional to 3,451.44, 5,176.43 and 985.61 is: 1,478.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.44 : 5,176.43 = 985.61 : x
  2. Step 2: Convert to fraction form
    3,451.44/5,176.43 = 985.61/x
  3. Step 3: Cross multiply
    3,451.44x = 5,176.43 × 985.61
  4. Step 4: Simplify right side
    3,451.44x = 5,101,910.36
  5. Step 5: Solve for x
    x = 5,101,910.36/3,451.44
  6. Step 6: Final answer
    x = 1,478.20

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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.