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Finding the Fourth Proportional to 3,477.92, 5,216.81 and 845.38

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Solution

The fourth proportional to 3,477.92, 5,216.81 and 845.38 is: 1,268.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.92 : 5,216.81 = 845.38 : x
  2. Step 2: Convert to fraction form
    3,477.92/5,216.81 = 845.38/x
  3. Step 3: Cross multiply
    3,477.92x = 5,216.81 × 845.38
  4. Step 4: Simplify right side
    3,477.92x = 4,410,169.57
  5. Step 5: Solve for x
    x = 4,410,169.57/3,477.92
  6. Step 6: Final answer
    x = 1,268.05

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1.5x scale

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.