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Finding the Fourth Proportional to 15,806.22, 23,689.62 and 8,790

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Solution

The fourth proportional to 15,806.22, 23,689.62 and 8,790 is: 13,174.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806.22 : 23,689.62 = 8,790 : x
  2. Step 2: Convert to fraction form
    15,806.22/23,689.62 = 8,790/x
  3. Step 3: Cross multiply
    15,806.22x = 23,689.62 × 8,790
  4. Step 4: Simplify right side
    15,806.22x = 208,231,759.80
  5. Step 5: Solve for x
    x = 208,231,759.80/15,806.22
  6. Step 6: Final answer
    x = 13,174.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.