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Finding the Fourth Proportional to 7,930, 11,934.79 and 5,965.81

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Solution

The fourth proportional to 7,930, 11,934.79 and 5,965.81 is: 8,978.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930 : 11,934.79 = 5,965.81 : x
  2. Step 2: Convert to fraction form
    7,930/11,934.79 = 5,965.81/x
  3. Step 3: Cross multiply
    7,930x = 11,934.79 × 5,965.81
  4. Step 4: Simplify right side
    7,930x = 71,200,689.53
  5. Step 5: Solve for x
    x = 71,200,689.53/7,930
  6. Step 6: Final answer
    x = 8,978.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.