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Finding the Fourth Proportional to 20,470.92, 30,696.04 and 7,981.32

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Solution

The fourth proportional to 20,470.92, 30,696.04 and 7,981.32 is: 11,967.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,470.92 : 30,696.04 = 7,981.32 : x
  2. Step 2: Convert to fraction form
    20,470.92/30,696.04 = 7,981.32/x
  3. Step 3: Cross multiply
    20,470.92x = 30,696.04 × 7,981.32
  4. Step 4: Simplify right side
    20,470.92x = 244,994,917.97
  5. Step 5: Solve for x
    x = 244,994,917.97/20,470.92
  6. Step 6: Final answer
    x = 11,967.95

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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.