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Finding the Fourth Proportional to 12,447.73, 17,177.73 and 7,143.38

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Solution

The fourth proportional to 12,447.73, 17,177.73 and 7,143.38 is: 9,857.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,447.73 : 17,177.73 = 7,143.38 : x
  2. Step 2: Convert to fraction form
    12,447.73/17,177.73 = 7,143.38/x
  3. Step 3: Cross multiply
    12,447.73x = 17,177.73 × 7,143.38
  4. Step 4: Simplify right side
    12,447.73x = 122,707,052.93
  5. Step 5: Solve for x
    x = 122,707,052.93/12,447.73
  6. Step 6: Final answer
    x = 9,857.79

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1.5x scale

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.