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Finding the Fourth Proportional to 8,338.64, 12,509.64 and 3,408.68

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Solution

The fourth proportional to 8,338.64, 12,509.64 and 3,408.68 is: 5,113.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338.64 : 12,509.64 = 3,408.68 : x
  2. Step 2: Convert to fraction form
    8,338.64/12,509.64 = 3,408.68/x
  3. Step 3: Cross multiply
    8,338.64x = 12,509.64 × 3,408.68
  4. Step 4: Simplify right side
    8,338.64x = 42,641,390.95
  5. Step 5: Solve for x
    x = 42,641,390.95/8,338.64
  6. Step 6: Final answer
    x = 5,113.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.