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Finding the Fourth Proportional to 2,082.70, 2,874.12 and 1,151.20

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Solution

The fourth proportional to 2,082.70, 2,874.12 and 1,151.20 is: 1,588.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.70 : 2,874.12 = 1,151.20 : x
  2. Step 2: Convert to fraction form
    2,082.70/2,874.12 = 1,151.20/x
  3. Step 3: Cross multiply
    2,082.70x = 2,874.12 × 1,151.20
  4. Step 4: Simplify right side
    2,082.70x = 3,308,686.94
  5. Step 5: Solve for x
    x = 3,308,686.94/2,082.70
  6. Step 6: Final answer
    x = 1,588.65

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1.5x scale

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.