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Finding the Fourth Proportional to 2,555.37, 3,832.90 and 911.84

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Solution

The fourth proportional to 2,555.37, 3,832.90 and 911.84 is: 1,367.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555.37 : 3,832.90 = 911.84 : x
  2. Step 2: Convert to fraction form
    2,555.37/3,832.90 = 911.84/x
  3. Step 3: Cross multiply
    2,555.37x = 3,832.90 × 911.84
  4. Step 4: Simplify right side
    2,555.37x = 3,494,970.09
  5. Step 5: Solve for x
    x = 3,494,970.09/2,555.37
  6. Step 6: Final answer
    x = 1,367.70

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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.