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Finding the Fourth Proportional to 19,686, 27,166.68 and 10,854

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Solution

The fourth proportional to 19,686, 27,166.68 and 10,854 is: 14,978.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,686 : 27,166.68 = 10,854 : x
  2. Step 2: Convert to fraction form
    19,686/27,166.68 = 10,854/x
  3. Step 3: Cross multiply
    19,686x = 27,166.68 × 10,854
  4. Step 4: Simplify right side
    19,686x = 294,867,144.72
  5. Step 5: Solve for x
    x = 294,867,144.72/19,686
  6. Step 6: Final answer
    x = 14,978.52

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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.