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Finding the Fourth Proportional to 17,093.80, 25,643.10 and 5,405.80

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Solution

The fourth proportional to 17,093.80, 25,643.10 and 5,405.80 is: 8,109.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,093.80 : 25,643.10 = 5,405.80 : x
  2. Step 2: Convert to fraction form
    17,093.80/25,643.10 = 5,405.80/x
  3. Step 3: Cross multiply
    17,093.80x = 25,643.10 × 5,405.80
  4. Step 4: Simplify right side
    17,093.80x = 138,621,469.98
  5. Step 5: Solve for x
    x = 138,621,469.98/17,093.80
  6. Step 6: Final answer
    x = 8,109.46

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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.