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Finding the Fourth Proportional to 13,689.70, 18,891.42 and 7,721.14

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Solution

The fourth proportional to 13,689.70, 18,891.42 and 7,721.14 is: 10,654.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.70 : 18,891.42 = 7,721.14 : x
  2. Step 2: Convert to fraction form
    13,689.70/18,891.42 = 7,721.14/x
  3. Step 3: Cross multiply
    13,689.70x = 18,891.42 × 7,721.14
  4. Step 4: Simplify right side
    13,689.70x = 145,863,298.62
  5. Step 5: Solve for x
    x = 145,863,298.62/13,689.70
  6. Step 6: Final answer
    x = 10,654.97

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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.