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Finding the Fourth Proportional to 8,338.44, 12,509.82 and 3,411.84

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Solution

The fourth proportional to 8,338.44, 12,509.82 and 3,411.84 is: 5,118.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338.44 : 12,509.82 = 3,411.84 : x
  2. Step 2: Convert to fraction form
    8,338.44/12,509.82 = 3,411.84/x
  3. Step 3: Cross multiply
    8,338.44x = 12,509.82 × 3,411.84
  4. Step 4: Simplify right side
    8,338.44x = 42,681,504.27
  5. Step 5: Solve for x
    x = 42,681,504.27/8,338.44
  6. Step 6: Final answer
    x = 5,118.64

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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.