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Finding the Fourth Proportional to 13,977, 20,913.16 and 8,334.04

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Solution

The fourth proportional to 13,977, 20,913.16 and 8,334.04 is: 12,469.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,977 : 20,913.16 = 8,334.04 : x
  2. Step 2: Convert to fraction form
    13,977/20,913.16 = 8,334.04/x
  3. Step 3: Cross multiply
    13,977x = 20,913.16 × 8,334.04
  4. Step 4: Simplify right side
    13,977x = 174,291,111.97
  5. Step 5: Solve for x
    x = 174,291,111.97/13,977
  6. Step 6: Final answer
    x = 12,469.85

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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.