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Finding the Fourth Proportional to 7,883.76, 11,821.34 and 3,926.34

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Solution

The fourth proportional to 7,883.76, 11,821.34 and 3,926.34 is: 5,887.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.76 : 11,821.34 = 3,926.34 : x
  2. Step 2: Convert to fraction form
    7,883.76/11,821.34 = 3,926.34/x
  3. Step 3: Cross multiply
    7,883.76x = 11,821.34 × 3,926.34
  4. Step 4: Simplify right side
    7,883.76x = 46,414,600.10
  5. Step 5: Solve for x
    x = 46,414,600.10/7,883.76
  6. Step 6: Final answer
    x = 5,887.37

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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.