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Finding the Fourth Proportional to 3,428.46, 5,142.69 and 831.38

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Solution

The fourth proportional to 3,428.46, 5,142.69 and 831.38 is: 1,247.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.46 : 5,142.69 = 831.38 : x
  2. Step 2: Convert to fraction form
    3,428.46/5,142.69 = 831.38/x
  3. Step 3: Cross multiply
    3,428.46x = 5,142.69 × 831.38
  4. Step 4: Simplify right side
    3,428.46x = 4,275,503.90
  5. Step 5: Solve for x
    x = 4,275,503.90/3,428.46
  6. Step 6: Final answer
    x = 1,247.06

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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.