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Finding the Fourth Proportional to 3,650.78, 5,463.20 and 2,664.74

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Solution

The fourth proportional to 3,650.78, 5,463.20 and 2,664.74 is: 3,987.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.78 : 5,463.20 = 2,664.74 : x
  2. Step 2: Convert to fraction form
    3,650.78/5,463.20 = 2,664.74/x
  3. Step 3: Cross multiply
    3,650.78x = 5,463.20 × 2,664.74
  4. Step 4: Simplify right side
    3,650.78x = 14,558,007.57
  5. Step 5: Solve for x
    x = 14,558,007.57/3,650.78
  6. Step 6: Final answer
    x = 3,987.64

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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.