Home / 7,976.40-11,965.44-2,782.32

Finding the Fourth Proportional to 7,976.40, 11,965.44 and 2,782.32

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Solution

The fourth proportional to 7,976.40, 11,965.44 and 2,782.32 is: 4,173.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,976.40 : 11,965.44 = 2,782.32 : x
  2. Step 2: Convert to fraction form
    7,976.40/11,965.44 = 2,782.32/x
  3. Step 3: Cross multiply
    7,976.40x = 11,965.44 × 2,782.32
  4. Step 4: Simplify right side
    7,976.40x = 33,291,683.02
  5. Step 5: Solve for x
    x = 33,291,683.02/7,976.40
  6. Step 6: Final answer
    x = 4,173.77

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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.