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Finding the Fourth Proportional to 5,678.82, 8,505 and 5,481.77

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Solution

The fourth proportional to 5,678.82, 8,505 and 5,481.77 is: 8,209.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.82 : 8,505 = 5,481.77 : x
  2. Step 2: Convert to fraction form
    5,678.82/8,505 = 5,481.77/x
  3. Step 3: Cross multiply
    5,678.82x = 8,505 × 5,481.77
  4. Step 4: Simplify right side
    5,678.82x = 46,622,411.33
  5. Step 5: Solve for x
    x = 46,622,411.33/5,678.82
  6. Step 6: Final answer
    x = 8,209.88

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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.