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Finding the Fourth Proportional to 13,684.08, 18,883.08 and 8,094

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Solution

The fourth proportional to 13,684.08, 18,883.08 and 8,094 is: 11,169.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.08 : 18,883.08 = 8,094 : x
  2. Step 2: Convert to fraction form
    13,684.08/18,883.08 = 8,094/x
  3. Step 3: Cross multiply
    13,684.08x = 18,883.08 × 8,094
  4. Step 4: Simplify right side
    13,684.08x = 152,839,649.52
  5. Step 5: Solve for x
    x = 152,839,649.52/13,684.08
  6. Step 6: Final answer
    x = 11,169.16

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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.