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Finding the Fourth Proportional to 2,782.68, 4,171.46 and 2,163

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Solution

The fourth proportional to 2,782.68, 4,171.46 and 2,163 is: 3,242.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.68 : 4,171.46 = 2,163 : x
  2. Step 2: Convert to fraction form
    2,782.68/4,171.46 = 2,163/x
  3. Step 3: Cross multiply
    2,782.68x = 4,171.46 × 2,163
  4. Step 4: Simplify right side
    2,782.68x = 9,022,867.98
  5. Step 5: Solve for x
    x = 9,022,867.98/2,782.68
  6. Step 6: Final answer
    x = 3,242.51

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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.