Home / 2,082.12-3,123.24-1,157.16

Finding the Fourth Proportional to 2,082.12, 3,123.24 and 1,157.16

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Solution

The fourth proportional to 2,082.12, 3,123.24 and 1,157.16 is: 1,735.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.12 : 3,123.24 = 1,157.16 : x
  2. Step 2: Convert to fraction form
    2,082.12/3,123.24 = 1,157.16/x
  3. Step 3: Cross multiply
    2,082.12x = 3,123.24 × 1,157.16
  4. Step 4: Simplify right side
    2,082.12x = 3,614,088.40
  5. Step 5: Solve for x
    x = 3,614,088.40/2,082.12
  6. Step 6: Final answer
    x = 1,735.77

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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.