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Finding the Fourth Proportional to 3,477.90, 5,185.84 and 3,091.53

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Solution

The fourth proportional to 3,477.90, 5,185.84 and 3,091.53 is: 4,609.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.90 : 5,185.84 = 3,091.53 : x
  2. Step 2: Convert to fraction form
    3,477.90/5,185.84 = 3,091.53/x
  3. Step 3: Cross multiply
    3,477.90x = 5,185.84 × 3,091.53
  4. Step 4: Simplify right side
    3,477.90x = 16,032,185.86
  5. Step 5: Solve for x
    x = 16,032,185.86/3,477.90
  6. Step 6: Final answer
    x = 4,609.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.