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Finding the Fourth Proportional to 21,183, 31,768.10 and 6,390.68

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Solution

The fourth proportional to 21,183, 31,768.10 and 6,390.68 is: 9,584.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,183 : 31,768.10 = 6,390.68 : x
  2. Step 2: Convert to fraction form
    21,183/31,768.10 = 6,390.68/x
  3. Step 3: Cross multiply
    21,183x = 31,768.10 × 6,390.68
  4. Step 4: Simplify right side
    21,183x = 203,019,761.31
  5. Step 5: Solve for x
    x = 203,019,761.31/21,183
  6. Step 6: Final answer
    x = 9,584.09

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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.