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Finding the Fourth Proportional to 12,682.99, 19,022.05 and 3,917.98

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Solution

The fourth proportional to 12,682.99, 19,022.05 and 3,917.98 is: 5,876.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.99 : 19,022.05 = 3,917.98 : x
  2. Step 2: Convert to fraction form
    12,682.99/19,022.05 = 3,917.98/x
  3. Step 3: Cross multiply
    12,682.99x = 19,022.05 × 3,917.98
  4. Step 4: Simplify right side
    12,682.99x = 74,528,011.46
  5. Step 5: Solve for x
    x = 74,528,011.46/12,682.99
  6. Step 6: Final answer
    x = 5,876.22

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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.