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Finding the Fourth Proportional to 5,327.86, 7,991.16 and 1,431.96

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Solution

The fourth proportional to 5,327.86, 7,991.16 and 1,431.96 is: 2,147.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,327.86 : 7,991.16 = 1,431.96 : x
  2. Step 2: Convert to fraction form
    5,327.86/7,991.16 = 1,431.96/x
  3. Step 3: Cross multiply
    5,327.86x = 7,991.16 × 1,431.96
  4. Step 4: Simplify right side
    5,327.86x = 11,443,021.47
  5. Step 5: Solve for x
    x = 11,443,021.47/5,327.86
  6. Step 6: Final answer
    x = 2,147.77

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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.