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Finding the Fourth Proportional to 3,384.34, 5,076.52 and 919.42

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Solution

The fourth proportional to 3,384.34, 5,076.52 and 919.42 is: 1,379.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.34 : 5,076.52 = 919.42 : x
  2. Step 2: Convert to fraction form
    3,384.34/5,076.52 = 919.42/x
  3. Step 3: Cross multiply
    3,384.34x = 5,076.52 × 919.42
  4. Step 4: Simplify right side
    3,384.34x = 4,667,454.02
  5. Step 5: Solve for x
    x = 4,667,454.02/3,384.34
  6. Step 6: Final answer
    x = 1,379.13

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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.