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Finding the Fourth Proportional to 3,878.29, 5,819.73 and 1,538.53

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Solution

The fourth proportional to 3,878.29, 5,819.73 and 1,538.53 is: 2,308.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.29 : 5,819.73 = 1,538.53 : x
  2. Step 2: Convert to fraction form
    3,878.29/5,819.73 = 1,538.53/x
  3. Step 3: Cross multiply
    3,878.29x = 5,819.73 × 1,538.53
  4. Step 4: Simplify right side
    3,878.29x = 8,953,829.20
  5. Step 5: Solve for x
    x = 8,953,829.20/3,878.29
  6. Step 6: Final answer
    x = 2,308.71

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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.