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Finding the Fourth Proportional to 3,245.26, 4,867.89 and 905.27

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Solution

The fourth proportional to 3,245.26, 4,867.89 and 905.27 is: 1,357.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.26 : 4,867.89 = 905.27 : x
  2. Step 2: Convert to fraction form
    3,245.26/4,867.89 = 905.27/x
  3. Step 3: Cross multiply
    3,245.26x = 4,867.89 × 905.27
  4. Step 4: Simplify right side
    3,245.26x = 4,406,754.78
  5. Step 5: Solve for x
    x = 4,406,754.78/3,245.26
  6. Step 6: Final answer
    x = 1,357.91

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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.