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Finding the Fourth Proportional to 2,097.28, 3,146.07 and 636.54

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Solution

The fourth proportional to 2,097.28, 3,146.07 and 636.54 is: 954.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.28 : 3,146.07 = 636.54 : x
  2. Step 2: Convert to fraction form
    2,097.28/3,146.07 = 636.54/x
  3. Step 3: Cross multiply
    2,097.28x = 3,146.07 × 636.54
  4. Step 4: Simplify right side
    2,097.28x = 2,002,602.31
  5. Step 5: Solve for x
    x = 2,002,602.31/2,097.28
  6. Step 6: Final answer
    x = 954.86

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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.