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Finding the Fourth Proportional to 11,978.05, 16,530.22 and 6,672.87

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Solution

The fourth proportional to 11,978.05, 16,530.22 and 6,672.87 is: 9,208.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.05 : 16,530.22 = 6,672.87 : x
  2. Step 2: Convert to fraction form
    11,978.05/16,530.22 = 6,672.87/x
  3. Step 3: Cross multiply
    11,978.05x = 16,530.22 × 6,672.87
  4. Step 4: Simplify right side
    11,978.05x = 110,304,009.13
  5. Step 5: Solve for x
    x = 110,304,009.13/11,978.05
  6. Step 6: Final answer
    x = 9,208.85

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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.