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Finding the Fourth Proportional to 7,762.78, 11,644.20 and 3,149.02

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Solution

The fourth proportional to 7,762.78, 11,644.20 and 3,149.02 is: 4,723.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.78 : 11,644.20 = 3,149.02 : x
  2. Step 2: Convert to fraction form
    7,762.78/11,644.20 = 3,149.02/x
  3. Step 3: Cross multiply
    7,762.78x = 11,644.20 × 3,149.02
  4. Step 4: Simplify right side
    7,762.78x = 36,667,818.68
  5. Step 5: Solve for x
    x = 36,667,818.68/7,762.78
  6. Step 6: Final answer
    x = 4,723.54

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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.