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Finding the Fourth Proportional to 7,846.14, 11,771.24 and 2,917.20

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Solution

The fourth proportional to 7,846.14, 11,771.24 and 2,917.20 is: 4,376.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.14 : 11,771.24 = 2,917.20 : x
  2. Step 2: Convert to fraction form
    7,846.14/11,771.24 = 2,917.20/x
  3. Step 3: Cross multiply
    7,846.14x = 11,771.24 × 2,917.20
  4. Step 4: Simplify right side
    7,846.14x = 34,339,061.33
  5. Step 5: Solve for x
    x = 34,339,061.33/7,846.14
  6. Step 6: Final answer
    x = 4,376.55

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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.