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Finding the Fourth Proportional to 8,811.23, 13,216.67 and 2,147.77

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Solution

The fourth proportional to 8,811.23, 13,216.67 and 2,147.77 is: 3,221.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,811.23 : 13,216.67 = 2,147.77 : x
  2. Step 2: Convert to fraction form
    8,811.23/13,216.67 = 2,147.77/x
  3. Step 3: Cross multiply
    8,811.23x = 13,216.67 × 2,147.77
  4. Step 4: Simplify right side
    8,811.23x = 28,386,306.82
  5. Step 5: Solve for x
    x = 28,386,306.82/8,811.23
  6. Step 6: Final answer
    x = 3,221.61

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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.