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Finding the Fourth Proportional to 20,564.78, 30,847.18 and 4,982.42

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Solution

The fourth proportional to 20,564.78, 30,847.18 and 4,982.42 is: 7,473.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,564.78 : 30,847.18 = 4,982.42 : x
  2. Step 2: Convert to fraction form
    20,564.78/30,847.18 = 4,982.42/x
  3. Step 3: Cross multiply
    20,564.78x = 30,847.18 × 4,982.42
  4. Step 4: Simplify right side
    20,564.78x = 153,693,606.58
  5. Step 5: Solve for x
    x = 153,693,606.58/20,564.78
  6. Step 6: Final answer
    x = 7,473.63

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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.