Home / 1,452.26-2,004.10-831.38

Finding the Fourth Proportional to 1,452.26, 2,004.10 and 831.38

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Solution

The fourth proportional to 1,452.26, 2,004.10 and 831.38 is: 1,147.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.26 : 2,004.10 = 831.38 : x
  2. Step 2: Convert to fraction form
    1,452.26/2,004.10 = 831.38/x
  3. Step 3: Cross multiply
    1,452.26x = 2,004.10 × 831.38
  4. Step 4: Simplify right side
    1,452.26x = 1,666,168.66
  5. Step 5: Solve for x
    x = 1,666,168.66/1,452.26
  6. Step 6: Final answer
    x = 1,147.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.