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Finding the Fourth Proportional to 17,720.75, 26,581.14 and 5,408.75

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Solution

The fourth proportional to 17,720.75, 26,581.14 and 5,408.75 is: 8,113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,720.75 : 26,581.14 = 5,408.75 : x
  2. Step 2: Convert to fraction form
    17,720.75/26,581.14 = 5,408.75/x
  3. Step 3: Cross multiply
    17,720.75x = 26,581.14 × 5,408.75
  4. Step 4: Simplify right side
    17,720.75x = 143,770,740.98
  5. Step 5: Solve for x
    x = 143,770,740.98/17,720.75
  6. Step 6: Final answer
    x = 8,113.13

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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.