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Finding the Fourth Proportional to 5,765.91, 8,649 and 2,255.76

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Solution

The fourth proportional to 5,765.91, 8,649 and 2,255.76 is: 3,383.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.91 : 8,649 = 2,255.76 : x
  2. Step 2: Convert to fraction form
    5,765.91/8,649 = 2,255.76/x
  3. Step 3: Cross multiply
    5,765.91x = 8,649 × 2,255.76
  4. Step 4: Simplify right side
    5,765.91x = 19,510,068.24
  5. Step 5: Solve for x
    x = 19,510,068.24/5,765.91
  6. Step 6: Final answer
    x = 3,383.69

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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.