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Finding the Fourth Proportional to 7,806.12, 11,709.30 and 2,612

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Solution

The fourth proportional to 7,806.12, 11,709.30 and 2,612 is: 3,918.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.12 : 11,709.30 = 2,612 : x
  2. Step 2: Convert to fraction form
    7,806.12/11,709.30 = 2,612/x
  3. Step 3: Cross multiply
    7,806.12x = 11,709.30 × 2,612
  4. Step 4: Simplify right side
    7,806.12x = 30,584,691.60
  5. Step 5: Solve for x
    x = 30,584,691.60/7,806.12
  6. Step 6: Final answer
    x = 3,918.04

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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.