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Finding the Fourth Proportional to 2,144.64, 3,216.91 and 683.77

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Solution

The fourth proportional to 2,144.64, 3,216.91 and 683.77 is: 1,025.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.64 : 3,216.91 = 683.77 : x
  2. Step 2: Convert to fraction form
    2,144.64/3,216.91 = 683.77/x
  3. Step 3: Cross multiply
    2,144.64x = 3,216.91 × 683.77
  4. Step 4: Simplify right side
    2,144.64x = 2,199,626.55
  5. Step 5: Solve for x
    x = 2,199,626.55/2,144.64
  6. Step 6: Final answer
    x = 1,025.64

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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.