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Finding the Fourth Proportional to 2,436.53, 3,650.19 and 1,202.50

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Solution

The fourth proportional to 2,436.53, 3,650.19 and 1,202.50 is: 1,801.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436.53 : 3,650.19 = 1,202.50 : x
  2. Step 2: Convert to fraction form
    2,436.53/3,650.19 = 1,202.50/x
  3. Step 3: Cross multiply
    2,436.53x = 3,650.19 × 1,202.50
  4. Step 4: Simplify right side
    2,436.53x = 4,389,335.22
  5. Step 5: Solve for x
    x = 4,389,335.22/2,436.53
  6. Step 6: Final answer
    x = 1,801.47

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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.