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Finding the Fourth Proportional to 3,311.64, 4,960.98 and 2,849.40

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Solution

The fourth proportional to 3,311.64, 4,960.98 and 2,849.40 is: 4,268.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.64 : 4,960.98 = 2,849.40 : x
  2. Step 2: Convert to fraction form
    3,311.64/4,960.98 = 2,849.40/x
  3. Step 3: Cross multiply
    3,311.64x = 4,960.98 × 2,849.40
  4. Step 4: Simplify right side
    3,311.64x = 14,135,816.41
  5. Step 5: Solve for x
    x = 14,135,816.41/3,311.64
  6. Step 6: Final answer
    x = 4,268.52

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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.