Home / 2,288.37-3,432.78-827.64

Finding the Fourth Proportional to 2,288.37, 3,432.78 and 827.64

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Solution

The fourth proportional to 2,288.37, 3,432.78 and 827.64 is: 1,241.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.37 : 3,432.78 = 827.64 : x
  2. Step 2: Convert to fraction form
    2,288.37/3,432.78 = 827.64/x
  3. Step 3: Cross multiply
    2,288.37x = 3,432.78 × 827.64
  4. Step 4: Simplify right side
    2,288.37x = 2,841,106.04
  5. Step 5: Solve for x
    x = 2,841,106.04/2,288.37
  6. Step 6: Final answer
    x = 1,241.54

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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.