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Finding the Fourth Proportional to 11,940, 17,909.96 and 6,745.84

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Solution

The fourth proportional to 11,940, 17,909.96 and 6,745.84 is: 10,118.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940 : 17,909.96 = 6,745.84 : x
  2. Step 2: Convert to fraction form
    11,940/17,909.96 = 6,745.84/x
  3. Step 3: Cross multiply
    11,940x = 17,909.96 × 6,745.84
  4. Step 4: Simplify right side
    11,940x = 120,817,724.57
  5. Step 5: Solve for x
    x = 120,817,724.57/11,940
  6. Step 6: Final answer
    x = 10,118.74

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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.