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Finding the Fourth Proportional to 19,666, 27,139.12 and 10,834

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Solution

The fourth proportional to 19,666, 27,139.12 and 10,834 is: 14,950.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,666 : 27,139.12 = 10,834 : x
  2. Step 2: Convert to fraction form
    19,666/27,139.12 = 10,834/x
  3. Step 3: Cross multiply
    19,666x = 27,139.12 × 10,834
  4. Step 4: Simplify right side
    19,666x = 294,025,226.08
  5. Step 5: Solve for x
    x = 294,025,226.08/19,666
  6. Step 6: Final answer
    x = 14,950.94

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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.