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Finding the Fourth Proportional to 6,809.72, 9,399.20 and 3,826.52

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Solution

The fourth proportional to 6,809.72, 9,399.20 and 3,826.52 is: 5,281.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.72 : 9,399.20 = 3,826.52 : x
  2. Step 2: Convert to fraction form
    6,809.72/9,399.20 = 3,826.52/x
  3. Step 3: Cross multiply
    6,809.72x = 9,399.20 × 3,826.52
  4. Step 4: Simplify right side
    6,809.72x = 35,966,160.66
  5. Step 5: Solve for x
    x = 35,966,160.66/6,809.72
  6. Step 6: Final answer
    x = 5,281.59

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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.