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Finding the Fourth Proportional to 4,094, 5,649.78 and 2,231

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Solution

The fourth proportional to 4,094, 5,649.78 and 2,231 is: 3,078.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094 : 5,649.78 = 2,231 : x
  2. Step 2: Convert to fraction form
    4,094/5,649.78 = 2,231/x
  3. Step 3: Cross multiply
    4,094x = 5,649.78 × 2,231
  4. Step 4: Simplify right side
    4,094x = 12,604,659.18
  5. Step 5: Solve for x
    x = 12,604,659.18/4,094
  6. Step 6: Final answer
    x = 3,078.81

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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.