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Finding the Fourth Proportional to 15,708, 21,677.09 and 8,993.73

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Solution

The fourth proportional to 15,708, 21,677.09 and 8,993.73 is: 12,411.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,708 : 21,677.09 = 8,993.73 : x
  2. Step 2: Convert to fraction form
    15,708/21,677.09 = 8,993.73/x
  3. Step 3: Cross multiply
    15,708x = 21,677.09 × 8,993.73
  4. Step 4: Simplify right side
    15,708x = 194,957,849.68
  5. Step 5: Solve for x
    x = 194,957,849.68/15,708
  6. Step 6: Final answer
    x = 12,411.37

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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.