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Finding the Fourth Proportional to 21,174.99, 31,767.03 and 8,027.46

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Solution

The fourth proportional to 21,174.99, 31,767.03 and 8,027.46 is: 12,042.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,174.99 : 31,767.03 = 8,027.46 : x
  2. Step 2: Convert to fraction form
    21,174.99/31,767.03 = 8,027.46/x
  3. Step 3: Cross multiply
    21,174.99x = 31,767.03 × 8,027.46
  4. Step 4: Simplify right side
    21,174.99x = 255,008,562.64
  5. Step 5: Solve for x
    x = 255,008,562.64/21,174.99
  6. Step 6: Final answer
    x = 12,042.91

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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.