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Finding the Fourth Proportional to 11,785.62, 16,264.89 and 8,249.97

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Solution

The fourth proportional to 11,785.62, 16,264.89 and 8,249.97 is: 11,385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.62 : 16,264.89 = 8,249.97 : x
  2. Step 2: Convert to fraction form
    11,785.62/16,264.89 = 8,249.97/x
  3. Step 3: Cross multiply
    11,785.62x = 16,264.89 × 8,249.97
  4. Step 4: Simplify right side
    11,785.62x = 134,184,854.55
  5. Step 5: Solve for x
    x = 134,184,854.55/11,785.62
  6. Step 6: Final answer
    x = 11,385.47

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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.