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Finding the Fourth Proportional to 2,082.54, 3,103.95 and 1,965.78

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Solution

The fourth proportional to 2,082.54, 3,103.95 and 1,965.78 is: 2,929.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.54 : 3,103.95 = 1,965.78 : x
  2. Step 2: Convert to fraction form
    2,082.54/3,103.95 = 1,965.78/x
  3. Step 3: Cross multiply
    2,082.54x = 3,103.95 × 1,965.78
  4. Step 4: Simplify right side
    2,082.54x = 6,101,682.83
  5. Step 5: Solve for x
    x = 6,101,682.83/2,082.54
  6. Step 6: Final answer
    x = 2,929.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.