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Finding the Fourth Proportional to 10,917, 16,372.26 and 7,404.84

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Solution

The fourth proportional to 10,917, 16,372.26 and 7,404.84 is: 11,105.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,917 : 16,372.26 = 7,404.84 : x
  2. Step 2: Convert to fraction form
    10,917/16,372.26 = 7,404.84/x
  3. Step 3: Cross multiply
    10,917x = 16,372.26 × 7,404.84
  4. Step 4: Simplify right side
    10,917x = 121,233,965.74
  5. Step 5: Solve for x
    x = 121,233,965.74/10,917
  6. Step 6: Final answer
    x = 11,105.06

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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.