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Finding the Fourth Proportional to 12,144.39, 16,758.99 and 6,766.82

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Solution

The fourth proportional to 12,144.39, 16,758.99 and 6,766.82 is: 9,338.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144.39 : 16,758.99 = 6,766.82 : x
  2. Step 2: Convert to fraction form
    12,144.39/16,758.99 = 6,766.82/x
  3. Step 3: Cross multiply
    12,144.39x = 16,758.99 × 6,766.82
  4. Step 4: Simplify right side
    12,144.39x = 113,405,068.71
  5. Step 5: Solve for x
    x = 113,405,068.71/12,144.39
  6. Step 6: Final answer
    x = 9,338.06

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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.