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Finding the Fourth Proportional to 3,914.68, 5,866.81 and 1,447.22

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Solution

The fourth proportional to 3,914.68, 5,866.81 and 1,447.22 is: 2,168.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.68 : 5,866.81 = 1,447.22 : x
  2. Step 2: Convert to fraction form
    3,914.68/5,866.81 = 1,447.22/x
  3. Step 3: Cross multiply
    3,914.68x = 5,866.81 × 1,447.22
  4. Step 4: Simplify right side
    3,914.68x = 8,490,564.77
  5. Step 5: Solve for x
    x = 8,490,564.77/3,914.68
  6. Step 6: Final answer
    x = 2,168.90

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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.