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Finding the Fourth Proportional to 3,428.33, 5,142.50 and 831.27

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Solution

The fourth proportional to 3,428.33, 5,142.50 and 831.27 is: 1,246.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.33 : 5,142.50 = 831.27 : x
  2. Step 2: Convert to fraction form
    3,428.33/5,142.50 = 831.27/x
  3. Step 3: Cross multiply
    3,428.33x = 5,142.50 × 831.27
  4. Step 4: Simplify right side
    3,428.33x = 4,274,809.76
  5. Step 5: Solve for x
    x = 4,274,809.76/3,428.33
  6. Step 6: Final answer
    x = 1,246.91

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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.