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Finding the Fourth Proportional to 11,901, 16,423.38 and 7,186.44

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Solution

The fourth proportional to 11,901, 16,423.38 and 7,186.44 is: 9,917.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901 : 16,423.38 = 7,186.44 : x
  2. Step 2: Convert to fraction form
    11,901/16,423.38 = 7,186.44/x
  3. Step 3: Cross multiply
    11,901x = 16,423.38 × 7,186.44
  4. Step 4: Simplify right side
    11,901x = 118,025,634.97
  5. Step 5: Solve for x
    x = 118,025,634.97/11,901
  6. Step 6: Final answer
    x = 9,917.29

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Half scale
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Double 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.