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Finding the Fourth Proportional to 3,611.68, 4,976.49 and 3,214.42

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Solution

The fourth proportional to 3,611.68, 4,976.49 and 3,214.42 is: 4,429.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,611.68 : 4,976.49 = 3,214.42 : x
  2. Step 2: Convert to fraction form
    3,611.68/4,976.49 = 3,214.42/x
  3. Step 3: Cross multiply
    3,611.68x = 4,976.49 × 3,214.42
  4. Step 4: Simplify right side
    3,611.68x = 15,996,528.99
  5. Step 5: Solve for x
    x = 15,996,528.99/3,611.68
  6. Step 6: Final answer
    x = 4,429.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.