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Finding the Fourth Proportional to 3,384.42, 5,076.92 and 919.24

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Solution

The fourth proportional to 3,384.42, 5,076.92 and 919.24 is: 1,378.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.42 : 5,076.92 = 919.24 : x
  2. Step 2: Convert to fraction form
    3,384.42/5,076.92 = 919.24/x
  3. Step 3: Cross multiply
    3,384.42x = 5,076.92 × 919.24
  4. Step 4: Simplify right side
    3,384.42x = 4,666,907.94
  5. Step 5: Solve for x
    x = 4,666,907.94/3,384.42
  6. Step 6: Final answer
    x = 1,378.94

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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.