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Finding the Fourth Proportional to 20,632, 30,953.28 and 6,781.12

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Solution

The fourth proportional to 20,632, 30,953.28 and 6,781.12 is: 10,173.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,632 : 30,953.28 = 6,781.12 : x
  2. Step 2: Convert to fraction form
    20,632/30,953.28 = 6,781.12/x
  3. Step 3: Cross multiply
    20,632x = 30,953.28 × 6,781.12
  4. Step 4: Simplify right side
    20,632x = 209,897,906.07
  5. Step 5: Solve for x
    x = 209,897,906.07/20,632
  6. Step 6: Final answer
    x = 10,173.42

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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.