Home / 1,371.53-2,057.33-824.18

Finding the Fourth Proportional to 1,371.53, 2,057.33 and 824.18

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Solution

The fourth proportional to 1,371.53, 2,057.33 and 824.18 is: 1,236.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.53 : 2,057.33 = 824.18 : x
  2. Step 2: Convert to fraction form
    1,371.53/2,057.33 = 824.18/x
  3. Step 3: Cross multiply
    1,371.53x = 2,057.33 × 824.18
  4. Step 4: Simplify right side
    1,371.53x = 1,695,602.01
  5. Step 5: Solve for x
    x = 1,695,602.01/1,371.53
  6. Step 6: Final answer
    x = 1,236.28

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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.