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Finding the Fourth Proportional to 7,814.76, 11,717.82 and 2,619.24

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Solution

The fourth proportional to 7,814.76, 11,717.82 and 2,619.24 is: 3,927.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.76 : 11,717.82 = 2,619.24 : x
  2. Step 2: Convert to fraction form
    7,814.76/11,717.82 = 2,619.24/x
  3. Step 3: Cross multiply
    7,814.76x = 11,717.82 × 2,619.24
  4. Step 4: Simplify right side
    7,814.76x = 30,691,782.86
  5. Step 5: Solve for x
    x = 30,691,782.86/7,814.76
  6. Step 6: Final answer
    x = 3,927.41

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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.