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Finding the Fourth Proportional to 1,441.44, 2,161.86 and 863.64

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Solution

The fourth proportional to 1,441.44, 2,161.86 and 863.64 is: 1,295.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.44 : 2,161.86 = 863.64 : x
  2. Step 2: Convert to fraction form
    1,441.44/2,161.86 = 863.64/x
  3. Step 3: Cross multiply
    1,441.44x = 2,161.86 × 863.64
  4. Step 4: Simplify right side
    1,441.44x = 1,867,068.77
  5. Step 5: Solve for x
    x = 1,867,068.77/1,441.44
  6. Step 6: Final answer
    x = 1,295.28

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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.