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Finding the Fourth Proportional to 8,154.67, 12,223.41 and 3,775

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Solution

The fourth proportional to 8,154.67, 12,223.41 and 3,775 is: 5,658.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.67 : 12,223.41 = 3,775 : x
  2. Step 2: Convert to fraction form
    8,154.67/12,223.41 = 3,775/x
  3. Step 3: Cross multiply
    8,154.67x = 12,223.41 × 3,775
  4. Step 4: Simplify right side
    8,154.67x = 46,143,372.75
  5. Step 5: Solve for x
    x = 46,143,372.75/8,154.67
  6. Step 6: Final answer
    x = 5,658.52

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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.