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Finding the Fourth Proportional to 3,765.16, 5,650.44 and 2,788.32

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Solution

The fourth proportional to 3,765.16, 5,650.44 and 2,788.32 is: 4,184.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.16 : 5,650.44 = 2,788.32 : x
  2. Step 2: Convert to fraction form
    3,765.16/5,650.44 = 2,788.32/x
  3. Step 3: Cross multiply
    3,765.16x = 5,650.44 × 2,788.32
  4. Step 4: Simplify right side
    3,765.16x = 15,755,234.86
  5. Step 5: Solve for x
    x = 15,755,234.86/3,765.16
  6. Step 6: Final answer
    x = 4,184.48

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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.