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Finding the Fourth Proportional to 3,659.49, 5,049.72 and 2,065.99

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Solution

The fourth proportional to 3,659.49, 5,049.72 and 2,065.99 is: 2,850.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.49 : 5,049.72 = 2,065.99 : x
  2. Step 2: Convert to fraction form
    3,659.49/5,049.72 = 2,065.99/x
  3. Step 3: Cross multiply
    3,659.49x = 5,049.72 × 2,065.99
  4. Step 4: Simplify right side
    3,659.49x = 10,432,671.02
  5. Step 5: Solve for x
    x = 10,432,671.02/3,659.49
  6. Step 6: Final answer
    x = 2,850.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.