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Finding the Fourth Proportional to 1,868.77, 2,578.84 and 1,082.67

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Solution

The fourth proportional to 1,868.77, 2,578.84 and 1,082.67 is: 1,494.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.77 : 2,578.84 = 1,082.67 : x
  2. Step 2: Convert to fraction form
    1,868.77/2,578.84 = 1,082.67/x
  3. Step 3: Cross multiply
    1,868.77x = 2,578.84 × 1,082.67
  4. Step 4: Simplify right side
    1,868.77x = 2,792,020.33
  5. Step 5: Solve for x
    x = 2,792,020.33/1,868.77
  6. Step 6: Final answer
    x = 1,494.04

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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.