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Finding the Fourth Proportional to 13,679.44, 18,878.34 and 8,374

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Solution

The fourth proportional to 13,679.44, 18,878.34 and 8,374 is: 11,556.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,679.44 : 18,878.34 = 8,374 : x
  2. Step 2: Convert to fraction form
    13,679.44/18,878.34 = 8,374/x
  3. Step 3: Cross multiply
    13,679.44x = 18,878.34 × 8,374
  4. Step 4: Simplify right side
    13,679.44x = 158,087,219.16
  5. Step 5: Solve for x
    x = 158,087,219.16/13,679.44
  6. Step 6: Final answer
    x = 11,556.56

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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.