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Finding the Fourth Proportional to 3,651.93, 5,477.31 and 1,311.54

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Solution

The fourth proportional to 3,651.93, 5,477.31 and 1,311.54 is: 1,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.93 : 5,477.31 = 1,311.54 : x
  2. Step 2: Convert to fraction form
    3,651.93/5,477.31 = 1,311.54/x
  3. Step 3: Cross multiply
    3,651.93x = 5,477.31 × 1,311.54
  4. Step 4: Simplify right side
    3,651.93x = 7,183,711.16
  5. Step 5: Solve for x
    x = 7,183,711.16/3,651.93
  6. Step 6: Final answer
    x = 1,967.10

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Why These Related Problems?

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