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Finding the Fourth Proportional to 28,138.87, 42,198.02 and 12,333

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Solution

The fourth proportional to 28,138.87, 42,198.02 and 12,333 is: 18,494.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,138.87 : 42,198.02 = 12,333 : x
  2. Step 2: Convert to fraction form
    28,138.87/42,198.02 = 12,333/x
  3. Step 3: Cross multiply
    28,138.87x = 42,198.02 × 12,333
  4. Step 4: Simplify right side
    28,138.87x = 520,428,119.00
  5. Step 5: Solve for x
    x = 520,428,119.00/28,138.87
  6. Step 6: Final answer
    x = 18,494.99

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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.