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Finding the Fourth Proportional to 10,930, 15,083.40 and 5,962

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Solution

The fourth proportional to 10,930, 15,083.40 and 5,962 is: 8,227.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930 : 15,083.40 = 5,962 : x
  2. Step 2: Convert to fraction form
    10,930/15,083.40 = 5,962/x
  3. Step 3: Cross multiply
    10,930x = 15,083.40 × 5,962
  4. Step 4: Simplify right side
    10,930x = 89,927,230.80
  5. Step 5: Solve for x
    x = 89,927,230.80/10,930
  6. Step 6: Final answer
    x = 8,227.56

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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.