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Finding the Fourth Proportional to 9,321.44, 12,864.49 and 6,959.48

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Solution

The fourth proportional to 9,321.44, 12,864.49 and 6,959.48 is: 9,604.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.44 : 12,864.49 = 6,959.48 : x
  2. Step 2: Convert to fraction form
    9,321.44/12,864.49 = 6,959.48/x
  3. Step 3: Cross multiply
    9,321.44x = 12,864.49 × 6,959.48
  4. Step 4: Simplify right side
    9,321.44x = 89,530,079.14
  5. Step 5: Solve for x
    x = 89,530,079.14/9,321.44
  6. Step 6: Final answer
    x = 9,604.75

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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.