Home / 2,052.45-3,077.37-819.36

Finding the Fourth Proportional to 2,052.45, 3,077.37 and 819.36

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Solution

The fourth proportional to 2,052.45, 3,077.37 and 819.36 is: 1,228.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.45 : 3,077.37 = 819.36 : x
  2. Step 2: Convert to fraction form
    2,052.45/3,077.37 = 819.36/x
  3. Step 3: Cross multiply
    2,052.45x = 3,077.37 × 819.36
  4. Step 4: Simplify right side
    2,052.45x = 2,521,473.88
  5. Step 5: Solve for x
    x = 2,521,473.88/2,052.45
  6. Step 6: Final answer
    x = 1,228.52

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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.