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Finding the Fourth Proportional to 2,082.51, 3,124.68 and 986.88

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Solution

The fourth proportional to 2,082.51, 3,124.68 and 986.88 is: 1,480.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.51 : 3,124.68 = 986.88 : x
  2. Step 2: Convert to fraction form
    2,082.51/3,124.68 = 986.88/x
  3. Step 3: Cross multiply
    2,082.51x = 3,124.68 × 986.88
  4. Step 4: Simplify right side
    2,082.51x = 3,083,692.22
  5. Step 5: Solve for x
    x = 3,083,692.22/2,082.51
  6. Step 6: Final answer
    x = 1,480.76

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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.