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Finding the Fourth Proportional to 11,778.72, 16,272 and 9,277.44

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Solution

The fourth proportional to 11,778.72, 16,272 and 9,277.44 is: 12,816.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.72 : 16,272 = 9,277.44 : x
  2. Step 2: Convert to fraction form
    11,778.72/16,272 = 9,277.44/x
  3. Step 3: Cross multiply
    11,778.72x = 16,272 × 9,277.44
  4. Step 4: Simplify right side
    11,778.72x = 150,962,503.68
  5. Step 5: Solve for x
    x = 150,962,503.68/11,778.72
  6. Step 6: Final answer
    x = 12,816.55

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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.