Home / 1,372.16-2,057.28-824.56

Finding the Fourth Proportional to 1,372.16, 2,057.28 and 824.56

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Solution

The fourth proportional to 1,372.16, 2,057.28 and 824.56 is: 1,236.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.16 : 2,057.28 = 824.56 : x
  2. Step 2: Convert to fraction form
    1,372.16/2,057.28 = 824.56/x
  3. Step 3: Cross multiply
    1,372.16x = 2,057.28 × 824.56
  4. Step 4: Simplify right side
    1,372.16x = 1,696,350.80
  5. Step 5: Solve for x
    x = 1,696,350.80/1,372.16
  6. Step 6: Final answer
    x = 1,236.26

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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.