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Finding the Fourth Proportional to 12,694.31, 17,518.11 and 7,029.51

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Solution

The fourth proportional to 12,694.31, 17,518.11 and 7,029.51 is: 9,700.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.31 : 17,518.11 = 7,029.51 : x
  2. Step 2: Convert to fraction form
    12,694.31/17,518.11 = 7,029.51/x
  3. Step 3: Cross multiply
    12,694.31x = 17,518.11 × 7,029.51
  4. Step 4: Simplify right side
    12,694.31x = 123,143,729.43
  5. Step 5: Solve for x
    x = 123,143,729.43/12,694.31
  6. Step 6: Final answer
    x = 9,700.71

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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.