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Finding the Fourth Proportional to 19,700, 27,186 and 10,868

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Solution

The fourth proportional to 19,700, 27,186 and 10,868 is: 14,997.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,700 : 27,186 = 10,868 : x
  2. Step 2: Convert to fraction form
    19,700/27,186 = 10,868/x
  3. Step 3: Cross multiply
    19,700x = 27,186 × 10,868
  4. Step 4: Simplify right side
    19,700x = 295,457,448
  5. Step 5: Solve for x
    x = 295,457,448/19,700
  6. Step 6: Final answer
    x = 14,997.84

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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.