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Finding the Fourth Proportional to 5,971.92, 8,973 and 3,781.68

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Solution

The fourth proportional to 5,971.92, 8,973 and 3,781.68 is: 5,682.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.92 : 8,973 = 3,781.68 : x
  2. Step 2: Convert to fraction form
    5,971.92/8,973 = 3,781.68/x
  3. Step 3: Cross multiply
    5,971.92x = 8,973 × 3,781.68
  4. Step 4: Simplify right side
    5,971.92x = 33,933,014.64
  5. Step 5: Solve for x
    x = 33,933,014.64/5,971.92
  6. Step 6: Final answer
    x = 5,682.09

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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.