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Finding the Fourth Proportional to 17,278, 23,843.64 and 9,826

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Solution

The fourth proportional to 17,278, 23,843.64 and 9,826 is: 13,559.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,278 : 23,843.64 = 9,826 : x
  2. Step 2: Convert to fraction form
    17,278/23,843.64 = 9,826/x
  3. Step 3: Cross multiply
    17,278x = 23,843.64 × 9,826
  4. Step 4: Simplify right side
    17,278x = 234,287,606.64
  5. Step 5: Solve for x
    x = 234,287,606.64/17,278
  6. Step 6: Final answer
    x = 13,559.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.