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Finding the Fourth Proportional to 5,765.64, 8,649 and 3,471.72

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Solution

The fourth proportional to 5,765.64, 8,649 and 3,471.72 is: 5,207.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.64 : 8,649 = 3,471.72 : x
  2. Step 2: Convert to fraction form
    5,765.64/8,649 = 3,471.72/x
  3. Step 3: Cross multiply
    5,765.64x = 8,649 × 3,471.72
  4. Step 4: Simplify right side
    5,765.64x = 30,026,906.28
  5. Step 5: Solve for x
    x = 30,026,906.28/5,765.64
  6. Step 6: Final answer
    x = 5,207.91

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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.