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Finding the Fourth Proportional to 20,503.18, 30,736.31 and 7,352.47

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Solution

The fourth proportional to 20,503.18, 30,736.31 and 7,352.47 is: 11,022.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,503.18 : 30,736.31 = 7,352.47 : x
  2. Step 2: Convert to fraction form
    20,503.18/30,736.31 = 7,352.47/x
  3. Step 3: Cross multiply
    20,503.18x = 30,736.31 × 7,352.47
  4. Step 4: Simplify right side
    20,503.18x = 225,987,840.20
  5. Step 5: Solve for x
    x = 225,987,840.20/20,503.18
  6. Step 6: Final answer
    x = 11,022.09

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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.