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Finding the Fourth Proportional to 1,600.70, 2,396.85 and 1,286.69

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Solution

The fourth proportional to 1,600.70, 2,396.85 and 1,286.69 is: 1,926.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.70 : 2,396.85 = 1,286.69 : x
  2. Step 2: Convert to fraction form
    1,600.70/2,396.85 = 1,286.69/x
  3. Step 3: Cross multiply
    1,600.70x = 2,396.85 × 1,286.69
  4. Step 4: Simplify right side
    1,600.70x = 3,083,988.38
  5. Step 5: Solve for x
    x = 3,083,988.38/1,600.70
  6. Step 6: Final answer
    x = 1,926.65

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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.