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Finding the Fourth Proportional to 5,175.35, 7,765.05 and 2,982.88

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Solution

The fourth proportional to 5,175.35, 7,765.05 and 2,982.88 is: 4,475.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.35 : 7,765.05 = 2,982.88 : x
  2. Step 2: Convert to fraction form
    5,175.35/7,765.05 = 2,982.88/x
  3. Step 3: Cross multiply
    5,175.35x = 7,765.05 × 2,982.88
  4. Step 4: Simplify right side
    5,175.35x = 23,162,212.34
  5. Step 5: Solve for x
    x = 23,162,212.34/5,175.35
  6. Step 6: Final answer
    x = 4,475.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.