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Finding the Fourth Proportional to 2,076.57, 3,115.87 and 980.64

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Solution

The fourth proportional to 2,076.57, 3,115.87 and 980.64 is: 1,471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.57 : 3,115.87 = 980.64 : x
  2. Step 2: Convert to fraction form
    2,076.57/3,115.87 = 980.64/x
  3. Step 3: Cross multiply
    2,076.57x = 3,115.87 × 980.64
  4. Step 4: Simplify right side
    2,076.57x = 3,055,544.31
  5. Step 5: Solve for x
    x = 3,055,544.31/2,076.57
  6. Step 6: Final answer
    x = 1,471.44

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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.