Home / 3,127.56-4,690.97-819.24

Finding the Fourth Proportional to 3,127.56, 4,690.97 and 819.24

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Solution

The fourth proportional to 3,127.56, 4,690.97 and 819.24 is: 1,228.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,127.56 : 4,690.97 = 819.24 : x
  2. Step 2: Convert to fraction form
    3,127.56/4,690.97 = 819.24/x
  3. Step 3: Cross multiply
    3,127.56x = 4,690.97 × 819.24
  4. Step 4: Simplify right side
    3,127.56x = 3,843,030.26
  5. Step 5: Solve for x
    x = 3,843,030.26/3,127.56
  6. Step 6: Final answer
    x = 1,228.76

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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.