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Finding the Fourth Proportional to 2,753.44, 4,130.67 and 905.08

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Solution

The fourth proportional to 2,753.44, 4,130.67 and 905.08 is: 1,357.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.44 : 4,130.67 = 905.08 : x
  2. Step 2: Convert to fraction form
    2,753.44/4,130.67 = 905.08/x
  3. Step 3: Cross multiply
    2,753.44x = 4,130.67 × 905.08
  4. Step 4: Simplify right side
    2,753.44x = 3,738,586.80
  5. Step 5: Solve for x
    x = 3,738,586.80/2,753.44
  6. Step 6: Final answer
    x = 1,357.79

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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.