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Finding the Fourth Proportional to 3,220.78, 4,831.17 and 1,029.73

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Solution

The fourth proportional to 3,220.78, 4,831.17 and 1,029.73 is: 1,544.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.78 : 4,831.17 = 1,029.73 : x
  2. Step 2: Convert to fraction form
    3,220.78/4,831.17 = 1,029.73/x
  3. Step 3: Cross multiply
    3,220.78x = 4,831.17 × 1,029.73
  4. Step 4: Simplify right side
    3,220.78x = 4,974,800.68
  5. Step 5: Solve for x
    x = 4,974,800.68/3,220.78
  6. Step 6: Final answer
    x = 1,544.60

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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.