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Finding the Fourth Proportional to 2,379.54, 3,567.87 and 991.29

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Solution

The fourth proportional to 2,379.54, 3,567.87 and 991.29 is: 1,486.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.54 : 3,567.87 = 991.29 : x
  2. Step 2: Convert to fraction form
    2,379.54/3,567.87 = 991.29/x
  3. Step 3: Cross multiply
    2,379.54x = 3,567.87 × 991.29
  4. Step 4: Simplify right side
    2,379.54x = 3,536,793.85
  5. Step 5: Solve for x
    x = 3,536,793.85/2,379.54
  6. Step 6: Final answer
    x = 1,486.34

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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.