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Finding the Fourth Proportional to 7,910.50, 11,866.02 and 2,643.88

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Solution

The fourth proportional to 7,910.50, 11,866.02 and 2,643.88 is: 3,965.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,910.50 : 11,866.02 = 2,643.88 : x
  2. Step 2: Convert to fraction form
    7,910.50/11,866.02 = 2,643.88/x
  3. Step 3: Cross multiply
    7,910.50x = 11,866.02 × 2,643.88
  4. Step 4: Simplify right side
    7,910.50x = 31,372,332.96
  5. Step 5: Solve for x
    x = 31,372,332.96/7,910.50
  6. Step 6: Final answer
    x = 3,965.91

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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.