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Finding the Fourth Proportional to 12,819.99, 19,232.04 and 5,424.51

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Solution

The fourth proportional to 12,819.99, 19,232.04 and 5,424.51 is: 8,137.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,819.99 : 19,232.04 = 5,424.51 : x
  2. Step 2: Convert to fraction form
    12,819.99/19,232.04 = 5,424.51/x
  3. Step 3: Cross multiply
    12,819.99x = 19,232.04 × 5,424.51
  4. Step 4: Simplify right side
    12,819.99x = 104,324,393.30
  5. Step 5: Solve for x
    x = 104,324,393.30/12,819.99
  6. Step 6: Final answer
    x = 8,137.63

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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.