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Finding the Fourth Proportional to 5,712, 8,571.60 and 2,249.16

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Solution

The fourth proportional to 5,712, 8,571.60 and 2,249.16 is: 3,375.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712 : 8,571.60 = 2,249.16 : x
  2. Step 2: Convert to fraction form
    5,712/8,571.60 = 2,249.16/x
  3. Step 3: Cross multiply
    5,712x = 8,571.60 × 2,249.16
  4. Step 4: Simplify right side
    5,712x = 19,278,899.86
  5. Step 5: Solve for x
    x = 19,278,899.86/5,712
  6. Step 6: Final answer
    x = 3,375.16

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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.