Home / 20,981.85-31,473.20-7,831.60

Finding the Fourth Proportional to 20,981.85, 31,473.20 and 7,831.60

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Solution

The fourth proportional to 20,981.85, 31,473.20 and 7,831.60 is: 11,747.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,981.85 : 31,473.20 = 7,831.60 : x
  2. Step 2: Convert to fraction form
    20,981.85/31,473.20 = 7,831.60/x
  3. Step 3: Cross multiply
    20,981.85x = 31,473.20 × 7,831.60
  4. Step 4: Simplify right side
    20,981.85x = 246,485,513.12
  5. Step 5: Solve for x
    x = 246,485,513.12/20,981.85
  6. Step 6: Final answer
    x = 11,747.56

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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.