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Finding the Fourth Proportional to 3,774, 5,655.54 and 3,310.68

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Solution

The fourth proportional to 3,774, 5,655.54 and 3,310.68 is: 4,961.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774 : 5,655.54 = 3,310.68 : x
  2. Step 2: Convert to fraction form
    3,774/5,655.54 = 3,310.68/x
  3. Step 3: Cross multiply
    3,774x = 5,655.54 × 3,310.68
  4. Step 4: Simplify right side
    3,774x = 18,723,683.17
  5. Step 5: Solve for x
    x = 18,723,683.17/3,774
  6. Step 6: Final answer
    x = 4,961.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.