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Finding the Fourth Proportional to 12,691.88, 19,039.64 and 3,927.47

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Solution

The fourth proportional to 12,691.88, 19,039.64 and 3,927.47 is: 5,891.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,691.88 : 19,039.64 = 3,927.47 : x
  2. Step 2: Convert to fraction form
    12,691.88/19,039.64 = 3,927.47/x
  3. Step 3: Cross multiply
    12,691.88x = 19,039.64 × 3,927.47
  4. Step 4: Simplify right side
    12,691.88x = 74,777,500.08
  5. Step 5: Solve for x
    x = 74,777,500.08/12,691.88
  6. Step 6: Final answer
    x = 5,891.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.