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Finding the Fourth Proportional to 18,646.86, 27,965.94 and 11,963.16

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Solution

The fourth proportional to 18,646.86, 27,965.94 and 11,963.16 is: 17,941.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,646.86 : 27,965.94 = 11,963.16 : x
  2. Step 2: Convert to fraction form
    18,646.86/27,965.94 = 11,963.16/x
  3. Step 3: Cross multiply
    18,646.86x = 27,965.94 × 11,963.16
  4. Step 4: Simplify right side
    18,646.86x = 334,561,014.77
  5. Step 5: Solve for x
    x = 334,561,014.77/18,646.86
  6. Step 6: Final answer
    x = 17,941.95

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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.