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Finding the Fourth Proportional to 6,969.92, 9,618.44 and 3,826.04

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Solution

The fourth proportional to 6,969.92, 9,618.44 and 3,826.04 is: 5,279.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.92 : 9,618.44 = 3,826.04 : x
  2. Step 2: Convert to fraction form
    6,969.92/9,618.44 = 3,826.04/x
  3. Step 3: Cross multiply
    6,969.92x = 9,618.44 × 3,826.04
  4. Step 4: Simplify right side
    6,969.92x = 36,800,536.18
  5. Step 5: Solve for x
    x = 36,800,536.18/6,969.92
  6. Step 6: Final answer
    x = 5,279.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.