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Finding the Fourth Proportional to 5,115.86, 7,674.24 and 2,193.48

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Solution

The fourth proportional to 5,115.86, 7,674.24 and 2,193.48 is: 3,290.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.86 : 7,674.24 = 2,193.48 : x
  2. Step 2: Convert to fraction form
    5,115.86/7,674.24 = 2,193.48/x
  3. Step 3: Cross multiply
    5,115.86x = 7,674.24 × 2,193.48
  4. Step 4: Simplify right side
    5,115.86x = 16,833,300.18
  5. Step 5: Solve for x
    x = 16,833,300.18/5,115.86
  6. Step 6: Final answer
    x = 3,290.42

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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.