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Finding the Fourth Proportional to 1,793.60, 2,690.40 and 1,659.96

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Solution

The fourth proportional to 1,793.60, 2,690.40 and 1,659.96 is: 2,489.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.60 : 2,690.40 = 1,659.96 : x
  2. Step 2: Convert to fraction form
    1,793.60/2,690.40 = 1,659.96/x
  3. Step 3: Cross multiply
    1,793.60x = 2,690.40 × 1,659.96
  4. Step 4: Simplify right side
    1,793.60x = 4,465,956.38
  5. Step 5: Solve for x
    x = 4,465,956.38/1,793.60
  6. Step 6: Final answer
    x = 2,489.94

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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.