Home / 2,082.32-3,124.08-850.40

Finding the Fourth Proportional to 2,082.32, 3,124.08 and 850.40

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Solution

The fourth proportional to 2,082.32, 3,124.08 and 850.40 is: 1,275.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.32 : 3,124.08 = 850.40 : x
  2. Step 2: Convert to fraction form
    2,082.32/3,124.08 = 850.40/x
  3. Step 3: Cross multiply
    2,082.32x = 3,124.08 × 850.40
  4. Step 4: Simplify right side
    2,082.32x = 2,656,717.63
  5. Step 5: Solve for x
    x = 2,656,717.63/2,082.32
  6. Step 6: Final answer
    x = 1,275.85

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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.