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Finding the Fourth Proportional to 6,756, 10,135.92 and 2,139.12

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Solution

The fourth proportional to 6,756, 10,135.92 and 2,139.12 is: 3,209.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,756 : 10,135.92 = 2,139.12 : x
  2. Step 2: Convert to fraction form
    6,756/10,135.92 = 2,139.12/x
  3. Step 3: Cross multiply
    6,756x = 10,135.92 × 2,139.12
  4. Step 4: Simplify right side
    6,756x = 21,681,949.19
  5. Step 5: Solve for x
    x = 21,681,949.19/6,756
  6. Step 6: Final answer
    x = 3,209.29

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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.