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Finding the Fourth Proportional to 3,994.25, 5,509.49 and 2,649.83

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Solution

The fourth proportional to 3,994.25, 5,509.49 and 2,649.83 is: 3,655.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.25 : 5,509.49 = 2,649.83 : x
  2. Step 2: Convert to fraction form
    3,994.25/5,509.49 = 2,649.83/x
  3. Step 3: Cross multiply
    3,994.25x = 5,509.49 × 2,649.83
  4. Step 4: Simplify right side
    3,994.25x = 14,599,171.09
  5. Step 5: Solve for x
    x = 14,599,171.09/3,994.25
  6. Step 6: Final answer
    x = 3,655.05

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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.