Home / 1,236.24-1,851.30-824.13

Finding the Fourth Proportional to 1,236.24, 1,851.30 and 824.13

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Solution

The fourth proportional to 1,236.24, 1,851.30 and 824.13 is: 1,234.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.24 : 1,851.30 = 824.13 : x
  2. Step 2: Convert to fraction form
    1,236.24/1,851.30 = 824.13/x
  3. Step 3: Cross multiply
    1,236.24x = 1,851.30 × 824.13
  4. Step 4: Simplify right side
    1,236.24x = 1,525,711.87
  5. Step 5: Solve for x
    x = 1,525,711.87/1,236.24
  6. Step 6: Final answer
    x = 1,234.16

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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.