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Finding the Fourth Proportional to 7,806.80, 11,709.48 and 2,612.72

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Solution

The fourth proportional to 7,806.80, 11,709.48 and 2,612.72 is: 3,918.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.80 : 11,709.48 = 2,612.72 : x
  2. Step 2: Convert to fraction form
    7,806.80/11,709.48 = 2,612.72/x
  3. Step 3: Cross multiply
    7,806.80x = 11,709.48 × 2,612.72
  4. Step 4: Simplify right side
    7,806.80x = 30,593,592.59
  5. Step 5: Solve for x
    x = 30,593,592.59/7,806.80
  6. Step 6: Final answer
    x = 3,918.84

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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.