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Finding the Fourth Proportional to 3,509.91, 5,262.27 and 1,658.86

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Solution

The fourth proportional to 3,509.91, 5,262.27 and 1,658.86 is: 2,487.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.91 : 5,262.27 = 1,658.86 : x
  2. Step 2: Convert to fraction form
    3,509.91/5,262.27 = 1,658.86/x
  3. Step 3: Cross multiply
    3,509.91x = 5,262.27 × 1,658.86
  4. Step 4: Simplify right side
    3,509.91x = 8,729,379.44
  5. Step 5: Solve for x
    x = 8,729,379.44/3,509.91
  6. Step 6: Final answer
    x = 2,487.07

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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.