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Finding the Fourth Proportional to 7,894.45, 11,819.80 and 3,990.70

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Solution

The fourth proportional to 7,894.45, 11,819.80 and 3,990.70 is: 5,974.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.45 : 11,819.80 = 3,990.70 : x
  2. Step 2: Convert to fraction form
    7,894.45/11,819.80 = 3,990.70/x
  3. Step 3: Cross multiply
    7,894.45x = 11,819.80 × 3,990.70
  4. Step 4: Simplify right side
    7,894.45x = 47,169,275.86
  5. Step 5: Solve for x
    x = 47,169,275.86/7,894.45
  6. Step 6: Final answer
    x = 5,974.99

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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.