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Finding the Fourth Proportional to 5,149.20, 7,723.80 and 2,551.80

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Solution

The fourth proportional to 5,149.20, 7,723.80 and 2,551.80 is: 3,827.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.20 : 7,723.80 = 2,551.80 : x
  2. Step 2: Convert to fraction form
    5,149.20/7,723.80 = 2,551.80/x
  3. Step 3: Cross multiply
    5,149.20x = 7,723.80 × 2,551.80
  4. Step 4: Simplify right side
    5,149.20x = 19,709,592.84
  5. Step 5: Solve for x
    x = 19,709,592.84/5,149.20
  6. Step 6: Final answer
    x = 3,827.70

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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.