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Finding the Fourth Proportional to 3,777.94, 5,666.86 and 2,738.44

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Solution

The fourth proportional to 3,777.94, 5,666.86 and 2,738.44 is: 4,107.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.94 : 5,666.86 = 2,738.44 : x
  2. Step 2: Convert to fraction form
    3,777.94/5,666.86 = 2,738.44/x
  3. Step 3: Cross multiply
    3,777.94x = 5,666.86 × 2,738.44
  4. Step 4: Simplify right side
    3,777.94x = 15,518,356.10
  5. Step 5: Solve for x
    x = 15,518,356.10/3,777.94
  6. Step 6: Final answer
    x = 4,107.62

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1.5x scale

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.