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Finding the Fourth Proportional to 3,865, 5,747.78 and 3,741.99

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Solution

The fourth proportional to 3,865, 5,747.78 and 3,741.99 is: 5,564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865 : 5,747.78 = 3,741.99 : x
  2. Step 2: Convert to fraction form
    3,865/5,747.78 = 3,741.99/x
  3. Step 3: Cross multiply
    3,865x = 5,747.78 × 3,741.99
  4. Step 4: Simplify right side
    3,865x = 21,508,135.28
  5. Step 5: Solve for x
    x = 21,508,135.28/3,865
  6. Step 6: Final answer
    x = 5,564.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.