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Finding the Fourth Proportional to 2,635.68, 3,952.08 and 2,172

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Solution

The fourth proportional to 2,635.68, 3,952.08 and 2,172 is: 3,256.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.68 : 3,952.08 = 2,172 : x
  2. Step 2: Convert to fraction form
    2,635.68/3,952.08 = 2,172/x
  3. Step 3: Cross multiply
    2,635.68x = 3,952.08 × 2,172
  4. Step 4: Simplify right side
    2,635.68x = 8,583,917.76
  5. Step 5: Solve for x
    x = 8,583,917.76/2,635.68
  6. Step 6: Final answer
    x = 3,256.81

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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.