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Finding the Fourth Proportional to 20,350, 28,083.91 and 11,397.31

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Solution

The fourth proportional to 20,350, 28,083.91 and 11,397.31 is: 15,728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,350 : 28,083.91 = 11,397.31 : x
  2. Step 2: Convert to fraction form
    20,350/28,083.91 = 11,397.31/x
  3. Step 3: Cross multiply
    20,350x = 28,083.91 × 11,397.31
  4. Step 4: Simplify right side
    20,350x = 320,081,028.28
  5. Step 5: Solve for x
    x = 320,081,028.28/20,350
  6. Step 6: Final answer
    x = 15,728.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.