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Finding the Fourth Proportional to 2,082.76, 3,125.49 and 987.23

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Solution

The fourth proportional to 2,082.76, 3,125.49 and 987.23 is: 1,481.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.76 : 3,125.49 = 987.23 : x
  2. Step 2: Convert to fraction form
    2,082.76/3,125.49 = 987.23/x
  3. Step 3: Cross multiply
    2,082.76x = 3,125.49 × 987.23
  4. Step 4: Simplify right side
    2,082.76x = 3,085,577.49
  5. Step 5: Solve for x
    x = 3,085,577.49/2,082.76
  6. Step 6: Final answer
    x = 1,481.48

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1.5x scale

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.