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Finding the Fourth Proportional to 13,891.34, 19,168.89 and 7,922.90

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Solution

The fourth proportional to 13,891.34, 19,168.89 and 7,922.90 is: 10,932.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,891.34 : 19,168.89 = 7,922.90 : x
  2. Step 2: Convert to fraction form
    13,891.34/19,168.89 = 7,922.90/x
  3. Step 3: Cross multiply
    13,891.34x = 19,168.89 × 7,922.90
  4. Step 4: Simplify right side
    13,891.34x = 151,873,198.58
  5. Step 5: Solve for x
    x = 151,873,198.58/13,891.34
  6. Step 6: Final answer
    x = 10,932.94

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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.