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Finding the Fourth Proportional to 5,209.64, 7,814.46 and 2,611.97

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Solution

The fourth proportional to 5,209.64, 7,814.46 and 2,611.97 is: 3,917.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.64 : 7,814.46 = 2,611.97 : x
  2. Step 2: Convert to fraction form
    5,209.64/7,814.46 = 2,611.97/x
  3. Step 3: Cross multiply
    5,209.64x = 7,814.46 × 2,611.97
  4. Step 4: Simplify right side
    5,209.64x = 20,411,122.03
  5. Step 5: Solve for x
    x = 20,411,122.03/5,209.64
  6. Step 6: Final answer
    x = 3,917.95

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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.