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Finding the Fourth Proportional to 3,428.73, 5,143.05 and 831.69

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Solution

The fourth proportional to 3,428.73, 5,143.05 and 831.69 is: 1,247.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.73 : 5,143.05 = 831.69 : x
  2. Step 2: Convert to fraction form
    3,428.73/5,143.05 = 831.69/x
  3. Step 3: Cross multiply
    3,428.73x = 5,143.05 × 831.69
  4. Step 4: Simplify right side
    3,428.73x = 4,277,423.25
  5. Step 5: Solve for x
    x = 4,277,423.25/3,428.73
  6. Step 6: Final answer
    x = 1,247.52

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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.