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Finding the Fourth Proportional to 13,674.88, 18,874.56 and 8,704

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Solution

The fourth proportional to 13,674.88, 18,874.56 and 8,704 is: 12,013.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.88 : 18,874.56 = 8,704 : x
  2. Step 2: Convert to fraction form
    13,674.88/18,874.56 = 8,704/x
  3. Step 3: Cross multiply
    13,674.88x = 18,874.56 × 8,704
  4. Step 4: Simplify right side
    13,674.88x = 164,284,170.24
  5. Step 5: Solve for x
    x = 164,284,170.24/13,674.88
  6. Step 6: Final answer
    x = 12,013.57

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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.