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Finding the Fourth Proportional to 8,309.30, 11,453.35 and 7,229.82

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Solution

The fourth proportional to 8,309.30, 11,453.35 and 7,229.82 is: 9,965.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.30 : 11,453.35 = 7,229.82 : x
  2. Step 2: Convert to fraction form
    8,309.30/11,453.35 = 7,229.82/x
  3. Step 3: Cross multiply
    8,309.30x = 11,453.35 × 7,229.82
  4. Step 4: Simplify right side
    8,309.30x = 82,805,622.75
  5. Step 5: Solve for x
    x = 82,805,622.75/8,309.30
  6. Step 6: Final answer
    x = 9,965.41

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1.5x scale

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.