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Finding the Fourth Proportional to 12,726.38, 17,570.65 and 8,191.09

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Solution

The fourth proportional to 12,726.38, 17,570.65 and 8,191.09 is: 11,309.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,726.38 : 17,570.65 = 8,191.09 : x
  2. Step 2: Convert to fraction form
    12,726.38/17,570.65 = 8,191.09/x
  3. Step 3: Cross multiply
    12,726.38x = 17,570.65 × 8,191.09
  4. Step 4: Simplify right side
    12,726.38x = 143,922,775.51
  5. Step 5: Solve for x
    x = 143,922,775.51/12,726.38
  6. Step 6: Final answer
    x = 11,309.01

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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.