Home / 5,242-7,861.44-2,467.12

Finding the Fourth Proportional to 5,242, 7,861.44 and 2,467.12

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Solution

The fourth proportional to 5,242, 7,861.44 and 2,467.12 is: 3,699.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242 : 7,861.44 = 2,467.12 : x
  2. Step 2: Convert to fraction form
    5,242/7,861.44 = 2,467.12/x
  3. Step 3: Cross multiply
    5,242x = 7,861.44 × 2,467.12
  4. Step 4: Simplify right side
    5,242x = 19,395,115.85
  5. Step 5: Solve for x
    x = 19,395,115.85/5,242
  6. Step 6: Final answer
    x = 3,699.95

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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.