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Finding the Fourth Proportional to 20,293.80, 30,443.13 and 8,605.50

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Solution

The fourth proportional to 20,293.80, 30,443.13 and 8,605.50 is: 12,909.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,293.80 : 30,443.13 = 8,605.50 : x
  2. Step 2: Convert to fraction form
    20,293.80/30,443.13 = 8,605.50/x
  3. Step 3: Cross multiply
    20,293.80x = 30,443.13 × 8,605.50
  4. Step 4: Simplify right side
    20,293.80x = 261,978,355.22
  5. Step 5: Solve for x
    x = 261,978,355.22/20,293.80
  6. Step 6: Final answer
    x = 12,909.28

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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.