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Finding the Fourth Proportional to 12,643.88, 18,965.83 and 4,323.98

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Solution

The fourth proportional to 12,643.88, 18,965.83 and 4,323.98 is: 6,485.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.88 : 18,965.83 = 4,323.98 : x
  2. Step 2: Convert to fraction form
    12,643.88/18,965.83 = 4,323.98/x
  3. Step 3: Cross multiply
    12,643.88x = 18,965.83 × 4,323.98
  4. Step 4: Simplify right side
    12,643.88x = 82,007,869.60
  5. Step 5: Solve for x
    x = 82,007,869.60/12,643.88
  6. Step 6: Final answer
    x = 6,485.97

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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.