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Finding the Fourth Proportional to 5,057.44, 7,581.36 and 1,768.39

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Solution

The fourth proportional to 5,057.44, 7,581.36 and 1,768.39 is: 2,650.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.44 : 7,581.36 = 1,768.39 : x
  2. Step 2: Convert to fraction form
    5,057.44/7,581.36 = 1,768.39/x
  3. Step 3: Cross multiply
    5,057.44x = 7,581.36 × 1,768.39
  4. Step 4: Simplify right side
    5,057.44x = 13,406,801.21
  5. Step 5: Solve for x
    x = 13,406,801.21/5,057.44
  6. Step 6: Final answer
    x = 2,650.91

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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.