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Finding the Fourth Proportional to 11,612.44, 16,016.97 and 7,138.71

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Solution

The fourth proportional to 11,612.44, 16,016.97 and 7,138.71 is: 9,846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.44 : 16,016.97 = 7,138.71 : x
  2. Step 2: Convert to fraction form
    11,612.44/16,016.97 = 7,138.71/x
  3. Step 3: Cross multiply
    11,612.44x = 16,016.97 × 7,138.71
  4. Step 4: Simplify right side
    11,612.44x = 114,340,503.91
  5. Step 5: Solve for x
    x = 114,340,503.91/11,612.44
  6. Step 6: Final answer
    x = 9,846.38

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Half scale
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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.