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Finding the Fourth Proportional to 5,847.96, 8,771 and 2,149.28

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Solution

The fourth proportional to 5,847.96, 8,771 and 2,149.28 is: 3,223.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.96 : 8,771 = 2,149.28 : x
  2. Step 2: Convert to fraction form
    5,847.96/8,771 = 2,149.28/x
  3. Step 3: Cross multiply
    5,847.96x = 8,771 × 2,149.28
  4. Step 4: Simplify right side
    5,847.96x = 18,851,334.88
  5. Step 5: Solve for x
    x = 18,851,334.88/5,847.96
  6. Step 6: Final answer
    x = 3,223.57

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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.