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Finding the Fourth Proportional to 3,473, 4,792.76 and 2,231

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Solution

The fourth proportional to 3,473, 4,792.76 and 2,231 is: 3,078.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473 : 4,792.76 = 2,231 : x
  2. Step 2: Convert to fraction form
    3,473/4,792.76 = 2,231/x
  3. Step 3: Cross multiply
    3,473x = 4,792.76 × 2,231
  4. Step 4: Simplify right side
    3,473x = 10,692,647.56
  5. Step 5: Solve for x
    x = 10,692,647.56/3,473
  6. Step 6: Final answer
    x = 3,078.79

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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.