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Finding the Fourth Proportional to 8,153.67, 12,221.91 and 3,774

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Solution

The fourth proportional to 8,153.67, 12,221.91 and 3,774 is: 5,657.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153.67 : 12,221.91 = 3,774 : x
  2. Step 2: Convert to fraction form
    8,153.67/12,221.91 = 3,774/x
  3. Step 3: Cross multiply
    8,153.67x = 12,221.91 × 3,774
  4. Step 4: Simplify right side
    8,153.67x = 46,125,488.34
  5. Step 5: Solve for x
    x = 46,125,488.34/8,153.67
  6. Step 6: Final answer
    x = 5,657.02

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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.