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Finding the Fourth Proportional to 19,640.22, 27,103.80 and 10,687.87

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Solution

The fourth proportional to 19,640.22, 27,103.80 and 10,687.87 is: 14,749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,640.22 : 27,103.80 = 10,687.87 : x
  2. Step 2: Convert to fraction form
    19,640.22/27,103.80 = 10,687.87/x
  3. Step 3: Cross multiply
    19,640.22x = 27,103.80 × 10,687.87
  4. Step 4: Simplify right side
    19,640.22x = 289,681,890.91
  5. Step 5: Solve for x
    x = 289,681,890.91/19,640.22
  6. Step 6: Final answer
    x = 14,749.42

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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.