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Finding the Fourth Proportional to 21,187.92, 31,782 and 6,396.96

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Solution

The fourth proportional to 21,187.92, 31,782 and 6,396.96 is: 9,595.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,187.92 : 31,782 = 6,396.96 : x
  2. Step 2: Convert to fraction form
    21,187.92/31,782 = 6,396.96/x
  3. Step 3: Cross multiply
    21,187.92x = 31,782 × 6,396.96
  4. Step 4: Simplify right side
    21,187.92x = 203,308,182.72
  5. Step 5: Solve for x
    x = 203,308,182.72/21,187.92
  6. Step 6: Final answer
    x = 9,595.48

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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.