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Finding the Fourth Proportional to 7,910, 11,863.20 and 2,980.16

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Solution

The fourth proportional to 7,910, 11,863.20 and 2,980.16 is: 4,469.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,910 : 11,863.20 = 2,980.16 : x
  2. Step 2: Convert to fraction form
    7,910/11,863.20 = 2,980.16/x
  3. Step 3: Cross multiply
    7,910x = 11,863.20 × 2,980.16
  4. Step 4: Simplify right side
    7,910x = 35,354,234.11
  5. Step 5: Solve for x
    x = 35,354,234.11/7,910
  6. Step 6: Final answer
    x = 4,469.56

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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.