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Finding the Fourth Proportional to 3,311.02, 4,966.49 and 845.80

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Solution

The fourth proportional to 3,311.02, 4,966.49 and 845.80 is: 1,268.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.02 : 4,966.49 = 845.80 : x
  2. Step 2: Convert to fraction form
    3,311.02/4,966.49 = 845.80/x
  3. Step 3: Cross multiply
    3,311.02x = 4,966.49 × 845.80
  4. Step 4: Simplify right side
    3,311.02x = 4,200,646.94
  5. Step 5: Solve for x
    x = 4,200,646.94/3,311.02
  6. Step 6: Final answer
    x = 1,268.69

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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.