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Finding the Fourth Proportional to 7,815, 11,722.62 and 2,343

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Solution

The fourth proportional to 7,815, 11,722.62 and 2,343 is: 3,514.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815 : 11,722.62 = 2,343 : x
  2. Step 2: Convert to fraction form
    7,815/11,722.62 = 2,343/x
  3. Step 3: Cross multiply
    7,815x = 11,722.62 × 2,343
  4. Step 4: Simplify right side
    7,815x = 27,466,098.66
  5. Step 5: Solve for x
    x = 27,466,098.66/7,815
  6. Step 6: Final answer
    x = 3,514.54

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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.