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Finding the Fourth Proportional to 15,802, 21,806.44 and 8,632

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Solution

The fourth proportional to 15,802, 21,806.44 and 8,632 is: 11,911.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802 : 21,806.44 = 8,632 : x
  2. Step 2: Convert to fraction form
    15,802/21,806.44 = 8,632/x
  3. Step 3: Cross multiply
    15,802x = 21,806.44 × 8,632
  4. Step 4: Simplify right side
    15,802x = 188,233,190.08
  5. Step 5: Solve for x
    x = 188,233,190.08/15,802
  6. Step 6: Final answer
    x = 11,911.99

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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.