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Finding the Fourth Proportional to 18,643, 27,968.34 and 7,699

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Solution

The fourth proportional to 18,643, 27,968.34 and 7,699 is: 11,550.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,643 : 27,968.34 = 7,699 : x
  2. Step 2: Convert to fraction form
    18,643/27,968.34 = 7,699/x
  3. Step 3: Cross multiply
    18,643x = 27,968.34 × 7,699
  4. Step 4: Simplify right side
    18,643x = 215,328,249.66
  5. Step 5: Solve for x
    x = 215,328,249.66/18,643
  6. Step 6: Final answer
    x = 11,550.09

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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.