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Finding the Fourth Proportional to 3,493.96, 5,238.62 and 1,384.19

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Solution

The fourth proportional to 3,493.96, 5,238.62 and 1,384.19 is: 2,075.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.96 : 5,238.62 = 1,384.19 : x
  2. Step 2: Convert to fraction form
    3,493.96/5,238.62 = 1,384.19/x
  3. Step 3: Cross multiply
    3,493.96x = 5,238.62 × 1,384.19
  4. Step 4: Simplify right side
    3,493.96x = 7,251,245.42
  5. Step 5: Solve for x
    x = 7,251,245.42/3,493.96
  6. Step 6: Final answer
    x = 2,075.37

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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.