Home / 7,820.24-11,730.38-1,976.80

Finding the Fourth Proportional to 7,820.24, 11,730.38 and 1,976.80

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Solution

The fourth proportional to 7,820.24, 11,730.38 and 1,976.80 is: 2,965.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.24 : 11,730.38 = 1,976.80 : x
  2. Step 2: Convert to fraction form
    7,820.24/11,730.38 = 1,976.80/x
  3. Step 3: Cross multiply
    7,820.24x = 11,730.38 × 1,976.80
  4. Step 4: Simplify right side
    7,820.24x = 23,188,615.18
  5. Step 5: Solve for x
    x = 23,188,615.18/7,820.24
  6. Step 6: Final answer
    x = 2,965.21

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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.