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Finding the Fourth Proportional to 2,094, 3,140.88 and 633.12

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Solution

The fourth proportional to 2,094, 3,140.88 and 633.12 is: 949.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094 : 3,140.88 = 633.12 : x
  2. Step 2: Convert to fraction form
    2,094/3,140.88 = 633.12/x
  3. Step 3: Cross multiply
    2,094x = 3,140.88 × 633.12
  4. Step 4: Simplify right side
    2,094x = 1,988,553.95
  5. Step 5: Solve for x
    x = 1,988,553.95/2,094
  6. Step 6: Final answer
    x = 949.64

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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.