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Finding the Fourth Proportional to 5,631.86, 7,771.82 and 3,079.52

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Solution

The fourth proportional to 5,631.86, 7,771.82 and 3,079.52 is: 4,249.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.86 : 7,771.82 = 3,079.52 : x
  2. Step 2: Convert to fraction form
    5,631.86/7,771.82 = 3,079.52/x
  3. Step 3: Cross multiply
    5,631.86x = 7,771.82 × 3,079.52
  4. Step 4: Simplify right side
    5,631.86x = 23,933,475.13
  5. Step 5: Solve for x
    x = 23,933,475.13/5,631.86
  6. Step 6: Final answer
    x = 4,249.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.