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Finding the Fourth Proportional to 2,971.64, 4,451.96 and 2,147.87

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Solution

The fourth proportional to 2,971.64, 4,451.96 and 2,147.87 is: 3,217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.64 : 4,451.96 = 2,147.87 : x
  2. Step 2: Convert to fraction form
    2,971.64/4,451.96 = 2,147.87/x
  3. Step 3: Cross multiply
    2,971.64x = 4,451.96 × 2,147.87
  4. Step 4: Simplify right side
    2,971.64x = 9,562,198.33
  5. Step 5: Solve for x
    x = 9,562,198.33/2,971.64
  6. Step 6: Final answer
    x = 3,217.82

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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.