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Finding the Fourth Proportional to 2,287.44, 3,431.16 and 919.44

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Solution

The fourth proportional to 2,287.44, 3,431.16 and 919.44 is: 1,379.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.44 : 3,431.16 = 919.44 : x
  2. Step 2: Convert to fraction form
    2,287.44/3,431.16 = 919.44/x
  3. Step 3: Cross multiply
    2,287.44x = 3,431.16 × 919.44
  4. Step 4: Simplify right side
    2,287.44x = 3,154,745.75
  5. Step 5: Solve for x
    x = 3,154,745.75/2,287.44
  6. Step 6: Final answer
    x = 1,379.16

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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.