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Finding the Fourth Proportional to 3,451.34, 4,762.82 and 1,879.42

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Solution

The fourth proportional to 3,451.34, 4,762.82 and 1,879.42 is: 2,593.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.34 : 4,762.82 = 1,879.42 : x
  2. Step 2: Convert to fraction form
    3,451.34/4,762.82 = 1,879.42/x
  3. Step 3: Cross multiply
    3,451.34x = 4,762.82 × 1,879.42
  4. Step 4: Simplify right side
    3,451.34x = 8,951,339.16
  5. Step 5: Solve for x
    x = 8,951,339.16/3,451.34
  6. Step 6: Final answer
    x = 2,593.58

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