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Finding the Fourth Proportional to 12,640.56, 18,977.25 and 9,720.92

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Solution

The fourth proportional to 12,640.56, 18,977.25 and 9,720.92 is: 14,593.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,640.56 : 18,977.25 = 9,720.92 : x
  2. Step 2: Convert to fraction form
    12,640.56/18,977.25 = 9,720.92/x
  3. Step 3: Cross multiply
    12,640.56x = 18,977.25 × 9,720.92
  4. Step 4: Simplify right side
    12,640.56x = 184,476,234.18
  5. Step 5: Solve for x
    x = 184,476,234.18/12,640.56
  6. Step 6: Final answer
    x = 14,593.99

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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.