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Finding the Fourth Proportional to 6,379.81, 9,565.56 and 2,219.50

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Solution

The fourth proportional to 6,379.81, 9,565.56 and 2,219.50 is: 3,327.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,379.81 : 9,565.56 = 2,219.50 : x
  2. Step 2: Convert to fraction form
    6,379.81/9,565.56 = 2,219.50/x
  3. Step 3: Cross multiply
    6,379.81x = 9,565.56 × 2,219.50
  4. Step 4: Simplify right side
    6,379.81x = 21,230,760.42
  5. Step 5: Solve for x
    x = 21,230,760.42/6,379.81
  6. Step 6: Final answer
    x = 3,327.80

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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.