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Finding the Fourth Proportional to 7,879.30, 11,815.48 and 2,333.07

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Solution

The fourth proportional to 7,879.30, 11,815.48 and 2,333.07 is: 3,498.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879.30 : 11,815.48 = 2,333.07 : x
  2. Step 2: Convert to fraction form
    7,879.30/11,815.48 = 2,333.07/x
  3. Step 3: Cross multiply
    7,879.30x = 11,815.48 × 2,333.07
  4. Step 4: Simplify right side
    7,879.30x = 27,566,344.84
  5. Step 5: Solve for x
    x = 27,566,344.84/7,879.30
  6. Step 6: Final answer
    x = 3,498.58

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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.