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Finding the Fourth Proportional to 5,291.83, 7,936.94 and 1,396.54

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Solution

The fourth proportional to 5,291.83, 7,936.94 and 1,396.54 is: 2,094.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.83 : 7,936.94 = 1,396.54 : x
  2. Step 2: Convert to fraction form
    5,291.83/7,936.94 = 1,396.54/x
  3. Step 3: Cross multiply
    5,291.83x = 7,936.94 × 1,396.54
  4. Step 4: Simplify right side
    5,291.83x = 11,084,257.13
  5. Step 5: Solve for x
    x = 11,084,257.13/5,291.83
  6. Step 6: Final answer
    x = 2,094.60

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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.