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Finding the Fourth Proportional to 3,765.72, 5,647.20 and 1,299.86

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Solution

The fourth proportional to 3,765.72, 5,647.20 and 1,299.86 is: 1,949.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.72 : 5,647.20 = 1,299.86 : x
  2. Step 2: Convert to fraction form
    3,765.72/5,647.20 = 1,299.86/x
  3. Step 3: Cross multiply
    3,765.72x = 5,647.20 × 1,299.86
  4. Step 4: Simplify right side
    3,765.72x = 7,340,569.39
  5. Step 5: Solve for x
    x = 7,340,569.39/3,765.72
  6. Step 6: Final answer
    x = 1,949.31

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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.