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Finding the Fourth Proportional to 8,187, 12,280.52 and 2,031

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Solution

The fourth proportional to 8,187, 12,280.52 and 2,031 is: 3,046.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187 : 12,280.52 = 2,031 : x
  2. Step 2: Convert to fraction form
    8,187/12,280.52 = 2,031/x
  3. Step 3: Cross multiply
    8,187x = 12,280.52 × 2,031
  4. Step 4: Simplify right side
    8,187x = 24,941,736.12
  5. Step 5: Solve for x
    x = 24,941,736.12/8,187
  6. Step 6: Final answer
    x = 3,046.50

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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.