Home / 7,082.28-10,625-2,084.78

Finding the Fourth Proportional to 7,082.28, 10,625 and 2,084.78

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Solution

The fourth proportional to 7,082.28, 10,625 and 2,084.78 is: 3,127.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.28 : 10,625 = 2,084.78 : x
  2. Step 2: Convert to fraction form
    7,082.28/10,625 = 2,084.78/x
  3. Step 3: Cross multiply
    7,082.28x = 10,625 × 2,084.78
  4. Step 4: Simplify right side
    7,082.28x = 22,150,787.50
  5. Step 5: Solve for x
    x = 22,150,787.50/7,082.28
  6. Step 6: Final answer
    x = 3,127.64

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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.