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Finding the Fourth Proportional to 7,910.94, 11,871 and 3,230.22

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Solution

The fourth proportional to 7,910.94, 11,871 and 3,230.22 is: 4,847.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,910.94 : 11,871 = 3,230.22 : x
  2. Step 2: Convert to fraction form
    7,910.94/11,871 = 3,230.22/x
  3. Step 3: Cross multiply
    7,910.94x = 11,871 × 3,230.22
  4. Step 4: Simplify right side
    7,910.94x = 38,345,941.62
  5. Step 5: Solve for x
    x = 38,345,941.62/7,910.94
  6. Step 6: Final answer
    x = 4,847.20

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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.