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Finding the Fourth Proportional to 9,297.20, 12,829.20 and 5,318.48

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Solution

The fourth proportional to 9,297.20, 12,829.20 and 5,318.48 is: 7,338.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.20 : 12,829.20 = 5,318.48 : x
  2. Step 2: Convert to fraction form
    9,297.20/12,829.20 = 5,318.48/x
  3. Step 3: Cross multiply
    9,297.20x = 12,829.20 × 5,318.48
  4. Step 4: Simplify right side
    9,297.20x = 68,231,843.62
  5. Step 5: Solve for x
    x = 68,231,843.62/9,297.20
  6. Step 6: Final answer
    x = 7,338.97

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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.