Home / 8,282.24-12,409.44-7,976

Finding the Fourth Proportional to 8,282.24, 12,409.44 and 7,976

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Solution

The fourth proportional to 8,282.24, 12,409.44 and 7,976 is: 11,950.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.24 : 12,409.44 = 7,976 : x
  2. Step 2: Convert to fraction form
    8,282.24/12,409.44 = 7,976/x
  3. Step 3: Cross multiply
    8,282.24x = 12,409.44 × 7,976
  4. Step 4: Simplify right side
    8,282.24x = 98,977,693.44
  5. Step 5: Solve for x
    x = 98,977,693.44/8,282.24
  6. Step 6: Final answer
    x = 11,950.59

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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.