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Finding the Fourth Proportional to 10,231.80, 15,338.10 and 8,009.40

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Solution

The fourth proportional to 10,231.80, 15,338.10 and 8,009.40 is: 12,006.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.80 : 15,338.10 = 8,009.40 : x
  2. Step 2: Convert to fraction form
    10,231.80/15,338.10 = 8,009.40/x
  3. Step 3: Cross multiply
    10,231.80x = 15,338.10 × 8,009.40
  4. Step 4: Simplify right side
    10,231.80x = 122,848,978.14
  5. Step 5: Solve for x
    x = 122,848,978.14/10,231.80
  6. Step 6: Final answer
    x = 12,006.59

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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.