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Finding the Fourth Proportional to 5,765.31, 8,648.48 and 2,991.24

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Solution

The fourth proportional to 5,765.31, 8,648.48 and 2,991.24 is: 4,487.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.31 : 8,648.48 = 2,991.24 : x
  2. Step 2: Convert to fraction form
    5,765.31/8,648.48 = 2,991.24/x
  3. Step 3: Cross multiply
    5,765.31x = 8,648.48 × 2,991.24
  4. Step 4: Simplify right side
    5,765.31x = 25,869,643.14
  5. Step 5: Solve for x
    x = 25,869,643.14/5,765.31
  6. Step 6: Final answer
    x = 4,487.12

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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.