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Finding the Fourth Proportional to 5,169.78, 7,754.70 and 2,976.60

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Solution

The fourth proportional to 5,169.78, 7,754.70 and 2,976.60 is: 4,464.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.78 : 7,754.70 = 2,976.60 : x
  2. Step 2: Convert to fraction form
    5,169.78/7,754.70 = 2,976.60/x
  3. Step 3: Cross multiply
    5,169.78x = 7,754.70 × 2,976.60
  4. Step 4: Simplify right side
    5,169.78x = 23,082,640.02
  5. Step 5: Solve for x
    x = 23,082,640.02/5,169.78
  6. Step 6: Final answer
    x = 4,464.92

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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.