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Finding the Fourth Proportional to 2,097.92, 3,146.16 and 799.76

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Solution

The fourth proportional to 2,097.92, 3,146.16 and 799.76 is: 1,199.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.92 : 3,146.16 = 799.76 : x
  2. Step 2: Convert to fraction form
    2,097.92/3,146.16 = 799.76/x
  3. Step 3: Cross multiply
    2,097.92x = 3,146.16 × 799.76
  4. Step 4: Simplify right side
    2,097.92x = 2,516,172.92
  5. Step 5: Solve for x
    x = 2,516,172.92/2,097.92
  6. Step 6: Final answer
    x = 1,199.37

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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.