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Finding the Fourth Proportional to 1,396.96, 1,926.42 and 1,101.64

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Solution

The fourth proportional to 1,396.96, 1,926.42 and 1,101.64 is: 1,519.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.96 : 1,926.42 = 1,101.64 : x
  2. Step 2: Convert to fraction form
    1,396.96/1,926.42 = 1,101.64/x
  3. Step 3: Cross multiply
    1,396.96x = 1,926.42 × 1,101.64
  4. Step 4: Simplify right side
    1,396.96x = 2,122,221.33
  5. Step 5: Solve for x
    x = 2,122,221.33/1,396.96
  6. Step 6: Final answer
    x = 1,519.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.