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Finding the Fourth Proportional to 2,150.44, 3,224.08 and 918.44

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Solution

The fourth proportional to 2,150.44, 3,224.08 and 918.44 is: 1,376.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.44 : 3,224.08 = 918.44 : x
  2. Step 2: Convert to fraction form
    2,150.44/3,224.08 = 918.44/x
  3. Step 3: Cross multiply
    2,150.44x = 3,224.08 × 918.44
  4. Step 4: Simplify right side
    2,150.44x = 2,961,124.04
  5. Step 5: Solve for x
    x = 2,961,124.04/2,150.44
  6. Step 6: Final answer
    x = 1,376.99

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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.