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Finding the Fourth Proportional to 2,128.76, 3,194.40 and 831.20

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Solution

The fourth proportional to 2,128.76, 3,194.40 and 831.20 is: 1,247.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.76 : 3,194.40 = 831.20 : x
  2. Step 2: Convert to fraction form
    2,128.76/3,194.40 = 831.20/x
  3. Step 3: Cross multiply
    2,128.76x = 3,194.40 × 831.20
  4. Step 4: Simplify right side
    2,128.76x = 2,655,185.28
  5. Step 5: Solve for x
    x = 2,655,185.28/2,128.76
  6. Step 6: Final answer
    x = 1,247.29

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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.