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Finding the Fourth Proportional to 7,168.86, 10,745.01 and 2,782.60

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Solution

The fourth proportional to 7,168.86, 10,745.01 and 2,782.60 is: 4,170.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,168.86 : 10,745.01 = 2,782.60 : x
  2. Step 2: Convert to fraction form
    7,168.86/10,745.01 = 2,782.60/x
  3. Step 3: Cross multiply
    7,168.86x = 10,745.01 × 2,782.60
  4. Step 4: Simplify right side
    7,168.86x = 29,899,037.96
  5. Step 5: Solve for x
    x = 29,899,037.96/7,168.86
  6. Step 6: Final answer
    x = 4,170.68

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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.