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Finding the Fourth Proportional to 3,384.89, 5,077.44 and 919.76

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Solution

The fourth proportional to 3,384.89, 5,077.44 and 919.76 is: 1,379.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.89 : 5,077.44 = 919.76 : x
  2. Step 2: Convert to fraction form
    3,384.89/5,077.44 = 919.76/x
  3. Step 3: Cross multiply
    3,384.89x = 5,077.44 × 919.76
  4. Step 4: Simplify right side
    3,384.89x = 4,670,044.96
  5. Step 5: Solve for x
    x = 4,670,044.96/3,384.89
  6. Step 6: Final answer
    x = 1,379.67

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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.