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Finding the Fourth Proportional to 8,950, 13,423.20 and 3,106.84

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Solution

The fourth proportional to 8,950, 13,423.20 and 3,106.84 is: 4,659.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,950 : 13,423.20 = 3,106.84 : x
  2. Step 2: Convert to fraction form
    8,950/13,423.20 = 3,106.84/x
  3. Step 3: Cross multiply
    8,950x = 13,423.20 × 3,106.84
  4. Step 4: Simplify right side
    8,950x = 41,703,734.69
  5. Step 5: Solve for x
    x = 41,703,734.69/8,950
  6. Step 6: Final answer
    x = 4,659.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.