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Finding the Fourth Proportional to 7,161.78, 10,741.87 and 2,231

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Solution

The fourth proportional to 7,161.78, 10,741.87 and 2,231 is: 3,346.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.78 : 10,741.87 = 2,231 : x
  2. Step 2: Convert to fraction form
    7,161.78/10,741.87 = 2,231/x
  3. Step 3: Cross multiply
    7,161.78x = 10,741.87 × 2,231
  4. Step 4: Simplify right side
    7,161.78x = 23,965,111.97
  5. Step 5: Solve for x
    x = 23,965,111.97/7,161.78
  6. Step 6: Final answer
    x = 3,346.25

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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.