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Finding the Fourth Proportional to 5,212.70, 7,193.44 and 2,854.83

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Solution

The fourth proportional to 5,212.70, 7,193.44 and 2,854.83 is: 3,939.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.70 : 7,193.44 = 2,854.83 : x
  2. Step 2: Convert to fraction form
    5,212.70/7,193.44 = 2,854.83/x
  3. Step 3: Cross multiply
    5,212.70x = 7,193.44 × 2,854.83
  4. Step 4: Simplify right side
    5,212.70x = 20,536,041.18
  5. Step 5: Solve for x
    x = 20,536,041.18/5,212.70
  6. Step 6: Final answer
    x = 3,939.62

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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.