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Finding the Fourth Proportional to 2,098.28, 3,147.88 and 799.76

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Solution

The fourth proportional to 2,098.28, 3,147.88 and 799.76 is: 1,199.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.28 : 3,147.88 = 799.76 : x
  2. Step 2: Convert to fraction form
    2,098.28/3,147.88 = 799.76/x
  3. Step 3: Cross multiply
    2,098.28x = 3,147.88 × 799.76
  4. Step 4: Simplify right side
    2,098.28x = 2,517,548.51
  5. Step 5: Solve for x
    x = 2,517,548.51/2,098.28
  6. Step 6: Final answer
    x = 1,199.82

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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.