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Finding the Fourth Proportional to 17,806.38, 26,730.20 and 10,416.15

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Solution

The fourth proportional to 17,806.38, 26,730.20 and 10,416.15 is: 15,636.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,806.38 : 26,730.20 = 10,416.15 : x
  2. Step 2: Convert to fraction form
    17,806.38/26,730.20 = 10,416.15/x
  3. Step 3: Cross multiply
    17,806.38x = 26,730.20 × 10,416.15
  4. Step 4: Simplify right side
    17,806.38x = 278,425,720.65
  5. Step 5: Solve for x
    x = 278,425,720.65/17,806.38
  6. Step 6: Final answer
    x = 15,636.29

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