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Finding the Fourth Proportional to 7,926.65, 11,879.79 and 2,990.40

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Solution

The fourth proportional to 7,926.65, 11,879.79 and 2,990.40 is: 4,481.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,926.65 : 11,879.79 = 2,990.40 : x
  2. Step 2: Convert to fraction form
    7,926.65/11,879.79 = 2,990.40/x
  3. Step 3: Cross multiply
    7,926.65x = 11,879.79 × 2,990.40
  4. Step 4: Simplify right side
    7,926.65x = 35,525,324.02
  5. Step 5: Solve for x
    x = 35,525,324.02/7,926.65
  6. Step 6: Final answer
    x = 4,481.76

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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.