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Finding the Fourth Proportional to 17,219, 25,804.26 and 13,693.37

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Solution

The fourth proportional to 17,219, 25,804.26 and 13,693.37 is: 20,520.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,219 : 25,804.26 = 13,693.37 : x
  2. Step 2: Convert to fraction form
    17,219/25,804.26 = 13,693.37/x
  3. Step 3: Cross multiply
    17,219x = 25,804.26 × 13,693.37
  4. Step 4: Simplify right side
    17,219x = 353,347,279.76
  5. Step 5: Solve for x
    x = 353,347,279.76/17,219
  6. Step 6: Final answer
    x = 20,520.78

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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.