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Finding the Fourth Proportional to 2,023.12, 3,033.50 and 636.08

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Solution

The fourth proportional to 2,023.12, 3,033.50 and 636.08 is: 953.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.12 : 3,033.50 = 636.08 : x
  2. Step 2: Convert to fraction form
    2,023.12/3,033.50 = 636.08/x
  3. Step 3: Cross multiply
    2,023.12x = 3,033.50 × 636.08
  4. Step 4: Simplify right side
    2,023.12x = 1,929,548.68
  5. Step 5: Solve for x
    x = 1,929,548.68/2,023.12
  6. Step 6: Final answer
    x = 953.75

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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.