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Finding the Fourth Proportional to 3,856.86, 5,781.45 and 1,549.98

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Solution

The fourth proportional to 3,856.86, 5,781.45 and 1,549.98 is: 2,323.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.86 : 5,781.45 = 1,549.98 : x
  2. Step 2: Convert to fraction form
    3,856.86/5,781.45 = 1,549.98/x
  3. Step 3: Cross multiply
    3,856.86x = 5,781.45 × 1,549.98
  4. Step 4: Simplify right side
    3,856.86x = 8,961,131.87
  5. Step 5: Solve for x
    x = 8,961,131.87/3,856.86
  6. Step 6: Final answer
    x = 2,323.43

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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.