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Finding the Fourth Proportional to 5,782, 8,676.84 and 2,134

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Solution

The fourth proportional to 5,782, 8,676.84 and 2,134 is: 3,202.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782 : 8,676.84 = 2,134 : x
  2. Step 2: Convert to fraction form
    5,782/8,676.84 = 2,134/x
  3. Step 3: Cross multiply
    5,782x = 8,676.84 × 2,134
  4. Step 4: Simplify right side
    5,782x = 18,516,376.56
  5. Step 5: Solve for x
    x = 18,516,376.56/5,782
  6. Step 6: Final answer
    x = 3,202.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.