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Finding the Fourth Proportional to 3,871.87, 5,811.90 and 2,412.05

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Solution

The fourth proportional to 3,871.87, 5,811.90 and 2,412.05 is: 3,620.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.87 : 5,811.90 = 2,412.05 : x
  2. Step 2: Convert to fraction form
    3,871.87/5,811.90 = 2,412.05/x
  3. Step 3: Cross multiply
    3,871.87x = 5,811.90 × 2,412.05
  4. Step 4: Simplify right side
    3,871.87x = 14,018,593.40
  5. Step 5: Solve for x
    x = 14,018,593.40/3,871.87
  6. Step 6: Final answer
    x = 3,620.63

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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.