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Finding the Fourth Proportional to 10,940, 15,097.38 and 5,972

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Solution

The fourth proportional to 10,940, 15,097.38 and 5,972 is: 8,241.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940 : 15,097.38 = 5,972 : x
  2. Step 2: Convert to fraction form
    10,940/15,097.38 = 5,972/x
  3. Step 3: Cross multiply
    10,940x = 15,097.38 × 5,972
  4. Step 4: Simplify right side
    10,940x = 90,161,553.36
  5. Step 5: Solve for x
    x = 90,161,553.36/10,940
  6. Step 6: Final answer
    x = 8,241.46

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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.