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Finding the Fourth Proportional to 2,098.64, 3,146.40 and 799.76

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Solution

The fourth proportional to 2,098.64, 3,146.40 and 799.76 is: 1,199.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.64 : 3,146.40 = 799.76 : x
  2. Step 2: Convert to fraction form
    2,098.64/3,146.40 = 799.76/x
  3. Step 3: Cross multiply
    2,098.64x = 3,146.40 × 799.76
  4. Step 4: Simplify right side
    2,098.64x = 2,516,364.86
  5. Step 5: Solve for x
    x = 2,516,364.86/2,098.64
  6. Step 6: Final answer
    x = 1,199.05

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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.