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Finding the Fourth Proportional to 5,305.32, 7,965.22 and 3,657.80

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Solution

The fourth proportional to 5,305.32, 7,965.22 and 3,657.80 is: 5,491.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.32 : 7,965.22 = 3,657.80 : x
  2. Step 2: Convert to fraction form
    5,305.32/7,965.22 = 3,657.80/x
  3. Step 3: Cross multiply
    5,305.32x = 7,965.22 × 3,657.80
  4. Step 4: Simplify right side
    5,305.32x = 29,135,181.72
  5. Step 5: Solve for x
    x = 29,135,181.72/5,305.32
  6. Step 6: Final answer
    x = 5,491.69

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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.