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Finding the Fourth Proportional to 1,519.53, 2,096.96 and 820.91

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Solution

The fourth proportional to 1,519.53, 2,096.96 and 820.91 is: 1,132.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.53 : 2,096.96 = 820.91 : x
  2. Step 2: Convert to fraction form
    1,519.53/2,096.96 = 820.91/x
  3. Step 3: Cross multiply
    1,519.53x = 2,096.96 × 820.91
  4. Step 4: Simplify right side
    1,519.53x = 1,721,400.84
  5. Step 5: Solve for x
    x = 1,721,400.84/1,519.53
  6. Step 6: Final answer
    x = 1,132.85

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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.