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Finding the Fourth Proportional to 9,408.40, 12,982.40 and 5,216.56

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Solution

The fourth proportional to 9,408.40, 12,982.40 and 5,216.56 is: 7,198.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.40 : 12,982.40 = 5,216.56 : x
  2. Step 2: Convert to fraction form
    9,408.40/12,982.40 = 5,216.56/x
  3. Step 3: Cross multiply
    9,408.40x = 12,982.40 × 5,216.56
  4. Step 4: Simplify right side
    9,408.40x = 67,723,468.54
  5. Step 5: Solve for x
    x = 67,723,468.54/9,408.40
  6. Step 6: Final answer
    x = 7,198.19

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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.