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Finding the Fourth Proportional to 3,379.21, 5,069.12 and 1,187.96

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Solution

The fourth proportional to 3,379.21, 5,069.12 and 1,187.96 is: 1,782.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,379.21 : 5,069.12 = 1,187.96 : x
  2. Step 2: Convert to fraction form
    3,379.21/5,069.12 = 1,187.96/x
  3. Step 3: Cross multiply
    3,379.21x = 5,069.12 × 1,187.96
  4. Step 4: Simplify right side
    3,379.21x = 6,021,915.71
  5. Step 5: Solve for x
    x = 6,021,915.71/3,379.21
  6. Step 6: Final answer
    x = 1,782.05

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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.