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Finding the Fourth Proportional to 1,793.42, 2,691.70 and 1,246

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Solution

The fourth proportional to 1,793.42, 2,691.70 and 1,246 is: 1,870.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.42 : 2,691.70 = 1,246 : x
  2. Step 2: Convert to fraction form
    1,793.42/2,691.70 = 1,246/x
  3. Step 3: Cross multiply
    1,793.42x = 2,691.70 × 1,246
  4. Step 4: Simplify right side
    1,793.42x = 3,353,858.20
  5. Step 5: Solve for x
    x = 3,353,858.20/1,793.42
  6. Step 6: Final answer
    x = 1,870.09

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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.