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Finding the Fourth Proportional to 5,291.71, 7,936.75 and 1,396.42

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Solution

The fourth proportional to 5,291.71, 7,936.75 and 1,396.42 is: 2,094.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.71 : 7,936.75 = 1,396.42 : x
  2. Step 2: Convert to fraction form
    5,291.71/7,936.75 = 1,396.42/x
  3. Step 3: Cross multiply
    5,291.71x = 7,936.75 × 1,396.42
  4. Step 4: Simplify right side
    5,291.71x = 11,083,036.44
  5. Step 5: Solve for x
    x = 11,083,036.44/5,291.71
  6. Step 6: Final answer
    x = 2,094.41

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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.