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Finding the Fourth Proportional to 5,699.76, 7,865.88 and 3,181.88

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Solution

The fourth proportional to 5,699.76, 7,865.88 and 3,181.88 is: 4,391.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.76 : 7,865.88 = 3,181.88 : x
  2. Step 2: Convert to fraction form
    5,699.76/7,865.88 = 3,181.88/x
  3. Step 3: Cross multiply
    5,699.76x = 7,865.88 × 3,181.88
  4. Step 4: Simplify right side
    5,699.76x = 25,028,286.25
  5. Step 5: Solve for x
    x = 25,028,286.25/5,699.76
  6. Step 6: Final answer
    x = 4,391.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.