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Finding the Fourth Proportional to 13,684.88, 18,880.84 and 8,374.16

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Solution

The fourth proportional to 13,684.88, 18,880.84 and 8,374.16 is: 11,553.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.88 : 18,880.84 = 8,374.16 : x
  2. Step 2: Convert to fraction form
    13,684.88/18,880.84 = 8,374.16/x
  3. Step 3: Cross multiply
    13,684.88x = 18,880.84 × 8,374.16
  4. Step 4: Simplify right side
    13,684.88x = 158,111,175.09
  5. Step 5: Solve for x
    x = 158,111,175.09/13,684.88
  6. Step 6: Final answer
    x = 11,553.71

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1.5x scale

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.