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Finding the Fourth Proportional to 20,233.90, 30,340.05 and 8,533.90

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Solution

The fourth proportional to 20,233.90, 30,340.05 and 8,533.90 is: 12,796.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,233.90 : 30,340.05 = 8,533.90 : x
  2. Step 2: Convert to fraction form
    20,233.90/30,340.05 = 8,533.90/x
  3. Step 3: Cross multiply
    20,233.90x = 30,340.05 × 8,533.90
  4. Step 4: Simplify right side
    20,233.90x = 258,918,952.70
  5. Step 5: Solve for x
    x = 258,918,952.70/20,233.90
  6. Step 6: Final answer
    x = 12,796.29

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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.