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Finding the Fourth Proportional to 7,900.72, 11,825.34 and 5,819.90

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Solution

The fourth proportional to 7,900.72, 11,825.34 and 5,819.90 is: 8,710.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900.72 : 11,825.34 = 5,819.90 : x
  2. Step 2: Convert to fraction form
    7,900.72/11,825.34 = 5,819.90/x
  3. Step 3: Cross multiply
    7,900.72x = 11,825.34 × 5,819.90
  4. Step 4: Simplify right side
    7,900.72x = 68,822,296.27
  5. Step 5: Solve for x
    x = 68,822,296.27/7,900.72
  6. Step 6: Final answer
    x = 8,710.89

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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.