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Finding the Fourth Proportional to 7,930.58, 11,894.92 and 2,087.65

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Solution

The fourth proportional to 7,930.58, 11,894.92 and 2,087.65 is: 3,131.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.58 : 11,894.92 = 2,087.65 : x
  2. Step 2: Convert to fraction form
    7,930.58/11,894.92 = 2,087.65/x
  3. Step 3: Cross multiply
    7,930.58x = 11,894.92 × 2,087.65
  4. Step 4: Simplify right side
    7,930.58x = 24,832,384.22
  5. Step 5: Solve for x
    x = 24,832,384.22/7,930.58
  6. Step 6: Final answer
    x = 3,131.22

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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.