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Finding the Fourth Proportional to 4,764.86, 7,147.29 and 2,168.54

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Solution

The fourth proportional to 4,764.86, 7,147.29 and 2,168.54 is: 3,252.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.86 : 7,147.29 = 2,168.54 : x
  2. Step 2: Convert to fraction form
    4,764.86/7,147.29 = 2,168.54/x
  3. Step 3: Cross multiply
    4,764.86x = 7,147.29 × 2,168.54
  4. Step 4: Simplify right side
    4,764.86x = 15,499,184.26
  5. Step 5: Solve for x
    x = 15,499,184.26/4,764.86
  6. Step 6: Final answer
    x = 3,252.81

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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.