Home / 3,428.85-5,143.29-831.78

Finding the Fourth Proportional to 3,428.85, 5,143.29 and 831.78

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Solution

The fourth proportional to 3,428.85, 5,143.29 and 831.78 is: 1,247.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.85 : 5,143.29 = 831.78 : x
  2. Step 2: Convert to fraction form
    3,428.85/5,143.29 = 831.78/x
  3. Step 3: Cross multiply
    3,428.85x = 5,143.29 × 831.78
  4. Step 4: Simplify right side
    3,428.85x = 4,278,085.76
  5. Step 5: Solve for x
    x = 4,278,085.76/3,428.85
  6. Step 6: Final answer
    x = 1,247.67

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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.