Home / 7,976.25-11,969.85-2,782.13

Finding the Fourth Proportional to 7,976.25, 11,969.85 and 2,782.13

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Solution

The fourth proportional to 7,976.25, 11,969.85 and 2,782.13 is: 4,175.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,976.25 : 11,969.85 = 2,782.13 : x
  2. Step 2: Convert to fraction form
    7,976.25/11,969.85 = 2,782.13/x
  3. Step 3: Cross multiply
    7,976.25x = 11,969.85 × 2,782.13
  4. Step 4: Simplify right side
    7,976.25x = 33,301,659.29
  5. Step 5: Solve for x
    x = 33,301,659.29/7,976.25
  6. Step 6: Final answer
    x = 4,175.10

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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.