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Finding the Fourth Proportional to 1,868.54, 2,578.42 and 1,082.64

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Solution

The fourth proportional to 1,868.54, 2,578.42 and 1,082.64 is: 1,493.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.54 : 2,578.42 = 1,082.64 : x
  2. Step 2: Convert to fraction form
    1,868.54/2,578.42 = 1,082.64/x
  3. Step 3: Cross multiply
    1,868.54x = 2,578.42 × 1,082.64
  4. Step 4: Simplify right side
    1,868.54x = 2,791,500.63
  5. Step 5: Solve for x
    x = 2,791,500.63/1,868.54
  6. Step 6: Final answer
    x = 1,493.95

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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.