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Finding the Fourth Proportional to 3,918, 5,406.84 and 2,262

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Solution

The fourth proportional to 3,918, 5,406.84 and 2,262 is: 3,121.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918 : 5,406.84 = 2,262 : x
  2. Step 2: Convert to fraction form
    3,918/5,406.84 = 2,262/x
  3. Step 3: Cross multiply
    3,918x = 5,406.84 × 2,262
  4. Step 4: Simplify right side
    3,918x = 12,230,272.08
  5. Step 5: Solve for x
    x = 12,230,272.08/3,918
  6. Step 6: Final answer
    x = 3,121.56

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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.