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Finding the Fourth Proportional to 12,890, 17,757.84 and 12,114.98

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Solution

The fourth proportional to 12,890, 17,757.84 and 12,114.98 is: 16,690.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,890 : 17,757.84 = 12,114.98 : x
  2. Step 2: Convert to fraction form
    12,890/17,757.84 = 12,114.98/x
  3. Step 3: Cross multiply
    12,890x = 17,757.84 × 12,114.98
  4. Step 4: Simplify right side
    12,890x = 215,135,876.44
  5. Step 5: Solve for x
    x = 215,135,876.44/12,890
  6. Step 6: Final answer
    x = 16,690.14

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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.