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Finding the Fourth Proportional to 19,962, 27,558.36 and 12,006

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Solution

The fourth proportional to 19,962, 27,558.36 and 12,006 is: 16,574.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,962 : 27,558.36 = 12,006 : x
  2. Step 2: Convert to fraction form
    19,962/27,558.36 = 12,006/x
  3. Step 3: Cross multiply
    19,962x = 27,558.36 × 12,006
  4. Step 4: Simplify right side
    19,962x = 330,865,670.16
  5. Step 5: Solve for x
    x = 330,865,670.16/19,962
  6. Step 6: Final answer
    x = 16,574.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.