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Finding the Fourth Proportional to 18,891.36, 26,069.96 and 10,394

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Solution

The fourth proportional to 18,891.36, 26,069.96 and 10,394 is: 14,343.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,891.36 : 26,069.96 = 10,394 : x
  2. Step 2: Convert to fraction form
    18,891.36/26,069.96 = 10,394/x
  3. Step 3: Cross multiply
    18,891.36x = 26,069.96 × 10,394
  4. Step 4: Simplify right side
    18,891.36x = 270,971,164.24
  5. Step 5: Solve for x
    x = 270,971,164.24/18,891.36
  6. Step 6: Final answer
    x = 14,343.66

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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.