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Finding the Fourth Proportional to 12,997.87, 19,496.79 and 4,232.77

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Solution

The fourth proportional to 12,997.87, 19,496.79 and 4,232.77 is: 6,349.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997.87 : 19,496.79 = 4,232.77 : x
  2. Step 2: Convert to fraction form
    12,997.87/19,496.79 = 4,232.77/x
  3. Step 3: Cross multiply
    12,997.87x = 19,496.79 × 4,232.77
  4. Step 4: Simplify right side
    12,997.87x = 82,525,427.81
  5. Step 5: Solve for x
    x = 82,525,427.81/12,997.87
  6. Step 6: Final answer
    x = 6,349.15

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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.