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Finding the Fourth Proportional to 2,562.78, 3,844.92 and 831.36

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Solution

The fourth proportional to 2,562.78, 3,844.92 and 831.36 is: 1,247.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.78 : 3,844.92 = 831.36 : x
  2. Step 2: Convert to fraction form
    2,562.78/3,844.92 = 831.36/x
  3. Step 3: Cross multiply
    2,562.78x = 3,844.92 × 831.36
  4. Step 4: Simplify right side
    2,562.78x = 3,196,512.69
  5. Step 5: Solve for x
    x = 3,196,512.69/2,562.78
  6. Step 6: Final answer
    x = 1,247.28

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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.