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Finding the Fourth Proportional to 21,192.67, 31,781.65 and 6,195.77

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Solution

The fourth proportional to 21,192.67, 31,781.65 and 6,195.77 is: 9,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,192.67 : 31,781.65 = 6,195.77 : x
  2. Step 2: Convert to fraction form
    21,192.67/31,781.65 = 6,195.77/x
  3. Step 3: Cross multiply
    21,192.67x = 31,781.65 × 6,195.77
  4. Step 4: Simplify right side
    21,192.67x = 196,911,793.62
  5. Step 5: Solve for x
    x = 196,911,793.62/21,192.67
  6. Step 6: Final answer
    x = 9,291.50

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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.