Home / 7,820.25-11,730.32-1,976.86

Finding the Fourth Proportional to 7,820.25, 11,730.32 and 1,976.86

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Solution

The fourth proportional to 7,820.25, 11,730.32 and 1,976.86 is: 2,965.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.25 : 11,730.32 = 1,976.86 : x
  2. Step 2: Convert to fraction form
    7,820.25/11,730.32 = 1,976.86/x
  3. Step 3: Cross multiply
    7,820.25x = 11,730.32 × 1,976.86
  4. Step 4: Simplify right side
    7,820.25x = 23,189,223.71
  5. Step 5: Solve for x
    x = 23,189,223.71/7,820.25
  6. Step 6: Final answer
    x = 2,965.28

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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.