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Finding the Fourth Proportional to 2,097.36, 3,146.45 and 636.73

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Solution

The fourth proportional to 2,097.36, 3,146.45 and 636.73 is: 955.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.36 : 3,146.45 = 636.73 : x
  2. Step 2: Convert to fraction form
    2,097.36/3,146.45 = 636.73/x
  3. Step 3: Cross multiply
    2,097.36x = 3,146.45 × 636.73
  4. Step 4: Simplify right side
    2,097.36x = 2,003,428.06
  5. Step 5: Solve for x
    x = 2,003,428.06/2,097.36
  6. Step 6: Final answer
    x = 955.21

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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.