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Finding the Fourth Proportional to 12,857.73, 17,741.64 and 7,481.37

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Solution

The fourth proportional to 12,857.73, 17,741.64 and 7,481.37 is: 10,323.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.73 : 17,741.64 = 7,481.37 : x
  2. Step 2: Convert to fraction form
    12,857.73/17,741.64 = 7,481.37/x
  3. Step 3: Cross multiply
    12,857.73x = 17,741.64 × 7,481.37
  4. Step 4: Simplify right side
    12,857.73x = 132,731,773.25
  5. Step 5: Solve for x
    x = 132,731,773.25/12,857.73
  6. Step 6: Final answer
    x = 10,323.11

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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.