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Finding the Fourth Proportional to 3,236.80, 4,855.20 and 1,505.02

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Solution

The fourth proportional to 3,236.80, 4,855.20 and 1,505.02 is: 2,257.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,236.80 : 4,855.20 = 1,505.02 : x
  2. Step 2: Convert to fraction form
    3,236.80/4,855.20 = 1,505.02/x
  3. Step 3: Cross multiply
    3,236.80x = 4,855.20 × 1,505.02
  4. Step 4: Simplify right side
    3,236.80x = 7,307,173.10
  5. Step 5: Solve for x
    x = 7,307,173.10/3,236.80
  6. Step 6: Final answer
    x = 2,257.53

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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.