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Finding the Fourth Proportional to 3,383.99, 5,076.09 and 918.87

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Solution

The fourth proportional to 3,383.99, 5,076.09 and 918.87 is: 1,378.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.99 : 5,076.09 = 918.87 : x
  2. Step 2: Convert to fraction form
    3,383.99/5,076.09 = 918.87/x
  3. Step 3: Cross multiply
    3,383.99x = 5,076.09 × 918.87
  4. Step 4: Simplify right side
    3,383.99x = 4,664,266.82
  5. Step 5: Solve for x
    x = 4,664,266.82/3,383.99
  6. Step 6: Final answer
    x = 1,378.33

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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.