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Finding the Fourth Proportional to 6,848, 10,272.81 and 2,231

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Solution

The fourth proportional to 6,848, 10,272.81 and 2,231 is: 3,346.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848 : 10,272.81 = 2,231 : x
  2. Step 2: Convert to fraction form
    6,848/10,272.81 = 2,231/x
  3. Step 3: Cross multiply
    6,848x = 10,272.81 × 2,231
  4. Step 4: Simplify right side
    6,848x = 22,918,639.11
  5. Step 5: Solve for x
    x = 22,918,639.11/6,848
  6. Step 6: Final answer
    x = 3,346.76

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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.