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Finding the Fourth Proportional to 2,831.87, 4,247.39 and 752.00

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Solution

The fourth proportional to 2,831.87, 4,247.39 and 752.00 is: 1,127.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.87 : 4,247.39 = 752.00 : x
  2. Step 2: Convert to fraction form
    2,831.87/4,247.39 = 752.00/x
  3. Step 3: Cross multiply
    2,831.87x = 4,247.39 × 752.00
  4. Step 4: Simplify right side
    2,831.87x = 3,194,012.28
  5. Step 5: Solve for x
    x = 3,194,012.28/2,831.87
  6. Step 6: Final answer
    x = 1,127.88

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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.