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Finding the Fourth Proportional to 3,638.64, 5,453.64 and 1,661.23

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Solution

The fourth proportional to 3,638.64, 5,453.64 and 1,661.23 is: 2,489.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.64 : 5,453.64 = 1,661.23 : x
  2. Step 2: Convert to fraction form
    3,638.64/5,453.64 = 1,661.23/x
  3. Step 3: Cross multiply
    3,638.64x = 5,453.64 × 1,661.23
  4. Step 4: Simplify right side
    3,638.64x = 9,059,750.38
  5. Step 5: Solve for x
    x = 9,059,750.38/3,638.64
  6. Step 6: Final answer
    x = 2,489.88

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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.