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Finding the Fourth Proportional to 18,597.75, 27,909.58 and 8,203.83

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Solution

The fourth proportional to 18,597.75, 27,909.58 and 8,203.83 is: 12,311.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,597.75 : 27,909.58 = 8,203.83 : x
  2. Step 2: Convert to fraction form
    18,597.75/27,909.58 = 8,203.83/x
  3. Step 3: Cross multiply
    18,597.75x = 27,909.58 × 8,203.83
  4. Step 4: Simplify right side
    18,597.75x = 228,965,269.12
  5. Step 5: Solve for x
    x = 228,965,269.12/18,597.75
  6. Step 6: Final answer
    x = 12,311.45

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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.