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Finding the Fourth Proportional to 11,726.91, 16,185.42 and 6,947.91

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Solution

The fourth proportional to 11,726.91, 16,185.42 and 6,947.91 is: 9,589.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726.91 : 16,185.42 = 6,947.91 : x
  2. Step 2: Convert to fraction form
    11,726.91/16,185.42 = 6,947.91/x
  3. Step 3: Cross multiply
    11,726.91x = 16,185.42 × 6,947.91
  4. Step 4: Simplify right side
    11,726.91x = 112,454,841.47
  5. Step 5: Solve for x
    x = 112,454,841.47/11,726.91
  6. Step 6: Final answer
    x = 9,589.47

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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.