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Finding the Fourth Proportional to 7,221.78, 10,831.57 and 2,290.78

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Solution

The fourth proportional to 7,221.78, 10,831.57 and 2,290.78 is: 3,435.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.78 : 10,831.57 = 2,290.78 : x
  2. Step 2: Convert to fraction form
    7,221.78/10,831.57 = 2,290.78/x
  3. Step 3: Cross multiply
    7,221.78x = 10,831.57 × 2,290.78
  4. Step 4: Simplify right side
    7,221.78x = 24,812,764.62
  5. Step 5: Solve for x
    x = 24,812,764.62/7,221.78
  6. Step 6: Final answer
    x = 3,435.82

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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.