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Finding the Fourth Proportional to 10,885, 15,021.54 and 5,917

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Solution

The fourth proportional to 10,885, 15,021.54 and 5,917 is: 8,165.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,885 : 15,021.54 = 5,917 : x
  2. Step 2: Convert to fraction form
    10,885/15,021.54 = 5,917/x
  3. Step 3: Cross multiply
    10,885x = 15,021.54 × 5,917
  4. Step 4: Simplify right side
    10,885x = 88,882,452.18
  5. Step 5: Solve for x
    x = 88,882,452.18/10,885
  6. Step 6: Final answer
    x = 8,165.59

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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.