Home / 3,140.28-4,710.54-831.78

Finding the Fourth Proportional to 3,140.28, 4,710.54 and 831.78

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Solution

The fourth proportional to 3,140.28, 4,710.54 and 831.78 is: 1,247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.28 : 4,710.54 = 831.78 : x
  2. Step 2: Convert to fraction form
    3,140.28/4,710.54 = 831.78/x
  3. Step 3: Cross multiply
    3,140.28x = 4,710.54 × 831.78
  4. Step 4: Simplify right side
    3,140.28x = 3,918,132.96
  5. Step 5: Solve for x
    x = 3,918,132.96/3,140.28
  6. Step 6: Final answer
    x = 1,247.70

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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.