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Finding the Fourth Proportional to 7,930.76, 11,896.13 and 2,086.88

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Solution

The fourth proportional to 7,930.76, 11,896.13 and 2,086.88 is: 3,130.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.76 : 11,896.13 = 2,086.88 : x
  2. Step 2: Convert to fraction form
    7,930.76/11,896.13 = 2,086.88/x
  3. Step 3: Cross multiply
    7,930.76x = 11,896.13 × 2,086.88
  4. Step 4: Simplify right side
    7,930.76x = 24,825,741.51
  5. Step 5: Solve for x
    x = 24,825,741.51/7,930.76
  6. Step 6: Final answer
    x = 3,130.31

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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.