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Finding the Fourth Proportional to 12,168.78, 16,793.04 and 7,977

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Solution

The fourth proportional to 12,168.78, 16,793.04 and 7,977 is: 11,008.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,168.78 : 16,793.04 = 7,977 : x
  2. Step 2: Convert to fraction form
    12,168.78/16,793.04 = 7,977/x
  3. Step 3: Cross multiply
    12,168.78x = 16,793.04 × 7,977
  4. Step 4: Simplify right side
    12,168.78x = 133,958,080.08
  5. Step 5: Solve for x
    x = 133,958,080.08/12,168.78
  6. Step 6: Final answer
    x = 11,008.34

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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.