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Finding the Fourth Proportional to 2,485.26, 3,728.37 and 754.14

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Solution

The fourth proportional to 2,485.26, 3,728.37 and 754.14 is: 1,131.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.26 : 3,728.37 = 754.14 : x
  2. Step 2: Convert to fraction form
    2,485.26/3,728.37 = 754.14/x
  3. Step 3: Cross multiply
    2,485.26x = 3,728.37 × 754.14
  4. Step 4: Simplify right side
    2,485.26x = 2,811,712.95
  5. Step 5: Solve for x
    x = 2,811,712.95/2,485.26
  6. Step 6: Final answer
    x = 1,131.36

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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.