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Finding the Fourth Proportional to 20,642.76, 30,968.62 and 6,791.24

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Solution

The fourth proportional to 20,642.76, 30,968.62 and 6,791.24 is: 10,188.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,642.76 : 30,968.62 = 6,791.24 : x
  2. Step 2: Convert to fraction form
    20,642.76/30,968.62 = 6,791.24/x
  3. Step 3: Cross multiply
    20,642.76x = 30,968.62 × 6,791.24
  4. Step 4: Simplify right side
    20,642.76x = 210,315,330.89
  5. Step 5: Solve for x
    x = 210,315,330.89/20,642.76
  6. Step 6: Final answer
    x = 10,188.33

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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.