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Finding the Fourth Proportional to 3,393.02, 5,089.89 and 927.84

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Solution

The fourth proportional to 3,393.02, 5,089.89 and 927.84 is: 1,391.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393.02 : 5,089.89 = 927.84 : x
  2. Step 2: Convert to fraction form
    3,393.02/5,089.89 = 927.84/x
  3. Step 3: Cross multiply
    3,393.02x = 5,089.89 × 927.84
  4. Step 4: Simplify right side
    3,393.02x = 4,722,613.73
  5. Step 5: Solve for x
    x = 4,722,613.73/3,393.02
  6. Step 6: Final answer
    x = 1,391.86

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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.