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Finding the Fourth Proportional to 3,910, 5,395.80 and 2,254

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Solution

The fourth proportional to 3,910, 5,395.80 and 2,254 is: 3,110.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910 : 5,395.80 = 2,254 : x
  2. Step 2: Convert to fraction form
    3,910/5,395.80 = 2,254/x
  3. Step 3: Cross multiply
    3,910x = 5,395.80 × 2,254
  4. Step 4: Simplify right side
    3,910x = 12,162,133.20
  5. Step 5: Solve for x
    x = 12,162,133.20/3,910
  6. Step 6: Final answer
    x = 3,110.52

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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.