Home / 2,082.16-3,122.56-695.20

Finding the Fourth Proportional to 2,082.16, 3,122.56 and 695.20

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Solution

The fourth proportional to 2,082.16, 3,122.56 and 695.20 is: 1,042.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.16 : 3,122.56 = 695.20 : x
  2. Step 2: Convert to fraction form
    2,082.16/3,122.56 = 695.20/x
  3. Step 3: Cross multiply
    2,082.16x = 3,122.56 × 695.20
  4. Step 4: Simplify right side
    2,082.16x = 2,170,803.71
  5. Step 5: Solve for x
    x = 2,170,803.71/2,082.16
  6. Step 6: Final answer
    x = 1,042.57

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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.