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Finding the Fourth Proportional to 3,933, 5,428.26 and 2,277

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Solution

The fourth proportional to 3,933, 5,428.26 and 2,277 is: 3,142.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,933 : 5,428.26 = 2,277 : x
  2. Step 2: Convert to fraction form
    3,933/5,428.26 = 2,277/x
  3. Step 3: Cross multiply
    3,933x = 5,428.26 × 2,277
  4. Step 4: Simplify right side
    3,933x = 12,360,148.02
  5. Step 5: Solve for x
    x = 12,360,148.02/3,933
  6. Step 6: Final answer
    x = 3,142.68

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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.