Home / 2,056.44-3,082.90-824.72

Finding the Fourth Proportional to 2,056.44, 3,082.90 and 824.72

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Solution

The fourth proportional to 2,056.44, 3,082.90 and 824.72 is: 1,236.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.44 : 3,082.90 = 824.72 : x
  2. Step 2: Convert to fraction form
    2,056.44/3,082.90 = 824.72/x
  3. Step 3: Cross multiply
    2,056.44x = 3,082.90 × 824.72
  4. Step 4: Simplify right side
    2,056.44x = 2,542,529.29
  5. Step 5: Solve for x
    x = 2,542,529.29/2,056.44
  6. Step 6: Final answer
    x = 1,236.37

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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.