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Finding the Fourth Proportional to 2,749.44, 4,123.78 and 900.64

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Solution

The fourth proportional to 2,749.44, 4,123.78 and 900.64 is: 1,350.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.44 : 4,123.78 = 900.64 : x
  2. Step 2: Convert to fraction form
    2,749.44/4,123.78 = 900.64/x
  3. Step 3: Cross multiply
    2,749.44x = 4,123.78 × 900.64
  4. Step 4: Simplify right side
    2,749.44x = 3,714,020.93
  5. Step 5: Solve for x
    x = 3,714,020.93/2,749.44
  6. Step 6: Final answer
    x = 1,350.83

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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.