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Finding the Fourth Proportional to 3,384.80, 5,077.15 and 919.85

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Solution

The fourth proportional to 3,384.80, 5,077.15 and 919.85 is: 1,379.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.80 : 5,077.15 = 919.85 : x
  2. Step 2: Convert to fraction form
    3,384.80/5,077.15 = 919.85/x
  3. Step 3: Cross multiply
    3,384.80x = 5,077.15 × 919.85
  4. Step 4: Simplify right side
    3,384.80x = 4,670,216.43
  5. Step 5: Solve for x
    x = 4,670,216.43/3,384.80
  6. Step 6: Final answer
    x = 1,379.76

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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.