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Finding the Fourth Proportional to 2,601.72, 3,906.36 and 1,624.86

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Solution

The fourth proportional to 2,601.72, 3,906.36 and 1,624.86 is: 2,439.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.72 : 3,906.36 = 1,624.86 : x
  2. Step 2: Convert to fraction form
    2,601.72/3,906.36 = 1,624.86/x
  3. Step 3: Cross multiply
    2,601.72x = 3,906.36 × 1,624.86
  4. Step 4: Simplify right side
    2,601.72x = 6,347,288.11
  5. Step 5: Solve for x
    x = 6,347,288.11/2,601.72
  6. Step 6: Final answer
    x = 2,439.65

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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.