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Finding the Fourth Proportional to 20,221.85, 30,333.59 and 9,831.17

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Solution

The fourth proportional to 20,221.85, 30,333.59 and 9,831.17 is: 14,747.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,221.85 : 30,333.59 = 9,831.17 : x
  2. Step 2: Convert to fraction form
    20,221.85/30,333.59 = 9,831.17/x
  3. Step 3: Cross multiply
    20,221.85x = 30,333.59 × 9,831.17
  4. Step 4: Simplify right side
    20,221.85x = 298,214,743.55
  5. Step 5: Solve for x
    x = 298,214,743.55/20,221.85
  6. Step 6: Final answer
    x = 14,747.15

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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.