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Finding the Fourth Proportional to 12,711, 19,067.82 and 3,477

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Solution

The fourth proportional to 12,711, 19,067.82 and 3,477 is: 5,215.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711 : 19,067.82 = 3,477 : x
  2. Step 2: Convert to fraction form
    12,711/19,067.82 = 3,477/x
  3. Step 3: Cross multiply
    12,711x = 19,067.82 × 3,477
  4. Step 4: Simplify right side
    12,711x = 66,298,810.14
  5. Step 5: Solve for x
    x = 66,298,810.14/12,711
  6. Step 6: Final answer
    x = 5,215.86

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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.