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Finding the Fourth Proportional to 2,097.78, 3,146.46 and 636.95

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Solution

The fourth proportional to 2,097.78, 3,146.46 and 636.95 is: 955.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.78 : 3,146.46 = 636.95 : x
  2. Step 2: Convert to fraction form
    2,097.78/3,146.46 = 636.95/x
  3. Step 3: Cross multiply
    2,097.78x = 3,146.46 × 636.95
  4. Step 4: Simplify right side
    2,097.78x = 2,004,121.96
  5. Step 5: Solve for x
    x = 2,004,121.96/2,097.78
  6. Step 6: Final answer
    x = 955.35

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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.