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Finding the Fourth Proportional to 3,154.78, 4,354.97 and 1,976.54

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Solution

The fourth proportional to 3,154.78, 4,354.97 and 1,976.54 is: 2,728.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.78 : 4,354.97 = 1,976.54 : x
  2. Step 2: Convert to fraction form
    3,154.78/4,354.97 = 1,976.54/x
  3. Step 3: Cross multiply
    3,154.78x = 4,354.97 × 1,976.54
  4. Step 4: Simplify right side
    3,154.78x = 8,607,740.75
  5. Step 5: Solve for x
    x = 8,607,740.75/3,154.78
  6. Step 6: Final answer
    x = 2,728.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.