Home / 7,820.26-11,730.47-1,976.87

Finding the Fourth Proportional to 7,820.26, 11,730.47 and 1,976.87

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Solution

The fourth proportional to 7,820.26, 11,730.47 and 1,976.87 is: 2,965.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.26 : 11,730.47 = 1,976.87 : x
  2. Step 2: Convert to fraction form
    7,820.26/11,730.47 = 1,976.87/x
  3. Step 3: Cross multiply
    7,820.26x = 11,730.47 × 1,976.87
  4. Step 4: Simplify right side
    7,820.26x = 23,189,614.23
  5. Step 5: Solve for x
    x = 23,189,614.23/7,820.26
  6. Step 6: Final answer
    x = 2,965.33

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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.