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Finding the Fourth Proportional to 5,857.78, 8,765.04 and 3,519.19

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Solution

The fourth proportional to 5,857.78, 8,765.04 and 3,519.19 is: 5,265.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.78 : 8,765.04 = 3,519.19 : x
  2. Step 2: Convert to fraction form
    5,857.78/8,765.04 = 3,519.19/x
  3. Step 3: Cross multiply
    5,857.78x = 8,765.04 × 3,519.19
  4. Step 4: Simplify right side
    5,857.78x = 30,845,841.12
  5. Step 5: Solve for x
    x = 30,845,841.12/5,857.78
  6. Step 6: Final answer
    x = 5,265.79

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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.