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Finding the Fourth Proportional to 2,147.73, 3,222.02 and 686.97

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Solution

The fourth proportional to 2,147.73, 3,222.02 and 686.97 is: 1,030.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.73 : 3,222.02 = 686.97 : x
  2. Step 2: Convert to fraction form
    2,147.73/3,222.02 = 686.97/x
  3. Step 3: Cross multiply
    2,147.73x = 3,222.02 × 686.97
  4. Step 4: Simplify right side
    2,147.73x = 2,213,427.64
  5. Step 5: Solve for x
    x = 2,213,427.64/2,147.73
  6. Step 6: Final answer
    x = 1,030.59

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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.