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Finding the Fourth Proportional to 12,866.31, 17,757.21 and 7,201.38

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Solution

The fourth proportional to 12,866.31, 17,757.21 and 7,201.38 is: 9,938.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866.31 : 17,757.21 = 7,201.38 : x
  2. Step 2: Convert to fraction form
    12,866.31/17,757.21 = 7,201.38/x
  3. Step 3: Cross multiply
    12,866.31x = 17,757.21 × 7,201.38
  4. Step 4: Simplify right side
    12,866.31x = 127,876,416.95
  5. Step 5: Solve for x
    x = 127,876,416.95/12,866.31
  6. Step 6: Final answer
    x = 9,938.86

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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.