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Finding the Fourth Proportional to 6,811.86, 9,400.73 and 3,787.31

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Solution

The fourth proportional to 6,811.86, 9,400.73 and 3,787.31 is: 5,226.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.86 : 9,400.73 = 3,787.31 : x
  2. Step 2: Convert to fraction form
    6,811.86/9,400.73 = 3,787.31/x
  3. Step 3: Cross multiply
    6,811.86x = 9,400.73 × 3,787.31
  4. Step 4: Simplify right side
    6,811.86x = 35,603,412.80
  5. Step 5: Solve for x
    x = 35,603,412.80/6,811.86
  6. Step 6: Final answer
    x = 5,226.68

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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.