Home / 1,519.25-2,096.57-820.63

Finding the Fourth Proportional to 1,519.25, 2,096.57 and 820.63

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Solution

The fourth proportional to 1,519.25, 2,096.57 and 820.63 is: 1,132.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.25 : 2,096.57 = 820.63 : x
  2. Step 2: Convert to fraction form
    1,519.25/2,096.57 = 820.63/x
  3. Step 3: Cross multiply
    1,519.25x = 2,096.57 × 820.63
  4. Step 4: Simplify right side
    1,519.25x = 1,720,493.65
  5. Step 5: Solve for x
    x = 1,720,493.65/1,519.25
  6. Step 6: Final answer
    x = 1,132.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.