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Finding the Fourth Proportional to 19,687.74, 29,514.88 and 9,163.87

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Solution

The fourth proportional to 19,687.74, 29,514.88 and 9,163.87 is: 13,738.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,687.74 : 29,514.88 = 9,163.87 : x
  2. Step 2: Convert to fraction form
    19,687.74/29,514.88 = 9,163.87/x
  3. Step 3: Cross multiply
    19,687.74x = 29,514.88 × 9,163.87
  4. Step 4: Simplify right side
    19,687.74x = 270,470,329.99
  5. Step 5: Solve for x
    x = 270,470,329.99/19,687.74
  6. Step 6: Final answer
    x = 13,738.01

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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.