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Finding the Fourth Proportional to 17,409, 26,115.10 and 6,878.44

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Solution

The fourth proportional to 17,409, 26,115.10 and 6,878.44 is: 10,318.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,409 : 26,115.10 = 6,878.44 : x
  2. Step 2: Convert to fraction form
    17,409/26,115.10 = 6,878.44/x
  3. Step 3: Cross multiply
    17,409x = 26,115.10 × 6,878.44
  4. Step 4: Simplify right side
    17,409x = 179,631,148.44
  5. Step 5: Solve for x
    x = 179,631,148.44/17,409
  6. Step 6: Final answer
    x = 10,318.29

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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.