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Finding the Fourth Proportional to 12,184, 18,276.09 and 2,950

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Solution

The fourth proportional to 12,184, 18,276.09 and 2,950 is: 4,425.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184 : 18,276.09 = 2,950 : x
  2. Step 2: Convert to fraction form
    12,184/18,276.09 = 2,950/x
  3. Step 3: Cross multiply
    12,184x = 18,276.09 × 2,950
  4. Step 4: Simplify right side
    12,184x = 53,914,465.50
  5. Step 5: Solve for x
    x = 53,914,465.50/12,184
  6. Step 6: Final answer
    x = 4,425.02

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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.