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Finding the Fourth Proportional to 3,762.94, 5,642.96 and 2,719.78

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Solution

The fourth proportional to 3,762.94, 5,642.96 and 2,719.78 is: 4,078.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.94 : 5,642.96 = 2,719.78 : x
  2. Step 2: Convert to fraction form
    3,762.94/5,642.96 = 2,719.78/x
  3. Step 3: Cross multiply
    3,762.94x = 5,642.96 × 2,719.78
  4. Step 4: Simplify right side
    3,762.94x = 15,347,609.75
  5. Step 5: Solve for x
    x = 15,347,609.75/3,762.94
  6. Step 6: Final answer
    x = 4,078.62

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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.