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Finding the Fourth Proportional to 21,092.36, 31,613.90 and 11,727.90

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Solution

The fourth proportional to 21,092.36, 31,613.90 and 11,727.90 is: 17,578.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,092.36 : 31,613.90 = 11,727.90 : x
  2. Step 2: Convert to fraction form
    21,092.36/31,613.90 = 11,727.90/x
  3. Step 3: Cross multiply
    21,092.36x = 31,613.90 × 11,727.90
  4. Step 4: Simplify right side
    21,092.36x = 370,764,599.17
  5. Step 5: Solve for x
    x = 370,764,599.17/21,092.36
  6. Step 6: Final answer
    x = 17,578.15

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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.