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Finding the Fourth Proportional to 11,553.44, 15,930.42 and 9,869.72

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Solution

The fourth proportional to 11,553.44, 15,930.42 and 9,869.72 is: 13,608.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,553.44 : 15,930.42 = 9,869.72 : x
  2. Step 2: Convert to fraction form
    11,553.44/15,930.42 = 9,869.72/x
  3. Step 3: Cross multiply
    11,553.44x = 15,930.42 × 9,869.72
  4. Step 4: Simplify right side
    11,553.44x = 157,228,784.88
  5. Step 5: Solve for x
    x = 157,228,784.88/11,553.44
  6. Step 6: Final answer
    x = 13,608.83

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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.