Home / 5,221.97-7,833.32-2,102

Finding the Fourth Proportional to 5,221.97, 7,833.32 and 2,102

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Solution

The fourth proportional to 5,221.97, 7,833.32 and 2,102 is: 3,153.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.97 : 7,833.32 = 2,102 : x
  2. Step 2: Convert to fraction form
    5,221.97/7,833.32 = 2,102/x
  3. Step 3: Cross multiply
    5,221.97x = 7,833.32 × 2,102
  4. Step 4: Simplify right side
    5,221.97x = 16,465,628.13
  5. Step 5: Solve for x
    x = 16,465,628.13/5,221.97
  6. Step 6: Final answer
    x = 3,153.14

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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.