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Finding the Fourth Proportional to 5,245.88, 7,871.24 and 2,781.86

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Solution

The fourth proportional to 5,245.88, 7,871.24 and 2,781.86 is: 4,174.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.88 : 7,871.24 = 2,781.86 : x
  2. Step 2: Convert to fraction form
    5,245.88/7,871.24 = 2,781.86/x
  3. Step 3: Cross multiply
    5,245.88x = 7,871.24 × 2,781.86
  4. Step 4: Simplify right side
    5,245.88x = 21,896,655.30
  5. Step 5: Solve for x
    x = 21,896,655.30/5,245.88
  6. Step 6: Final answer
    x = 4,174.07

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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.