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Finding the Fourth Proportional to 8,185.80, 12,274.34 and 2,919.99

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Solution

The fourth proportional to 8,185.80, 12,274.34 and 2,919.99 is: 4,378.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.80 : 12,274.34 = 2,919.99 : x
  2. Step 2: Convert to fraction form
    8,185.80/12,274.34 = 2,919.99/x
  3. Step 3: Cross multiply
    8,185.80x = 12,274.34 × 2,919.99
  4. Step 4: Simplify right side
    8,185.80x = 35,840,935.46
  5. Step 5: Solve for x
    x = 35,840,935.46/8,185.80
  6. Step 6: Final answer
    x = 4,378.43

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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.