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Finding the Fourth Proportional to 3,384.99, 5,077.59 and 919.87

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Solution

The fourth proportional to 3,384.99, 5,077.59 and 919.87 is: 1,379.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.99 : 5,077.59 = 919.87 : x
  2. Step 2: Convert to fraction form
    3,384.99/5,077.59 = 919.87/x
  3. Step 3: Cross multiply
    3,384.99x = 5,077.59 × 919.87
  4. Step 4: Simplify right side
    3,384.99x = 4,670,722.71
  5. Step 5: Solve for x
    x = 4,670,722.71/3,384.99
  6. Step 6: Final answer
    x = 1,379.83

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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.