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Finding the Fourth Proportional to 19,653, 27,121.14 and 10,821

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Solution

The fourth proportional to 19,653, 27,121.14 and 10,821 is: 14,932.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,653 : 27,121.14 = 10,821 : x
  2. Step 2: Convert to fraction form
    19,653/27,121.14 = 10,821/x
  3. Step 3: Cross multiply
    19,653x = 27,121.14 × 10,821
  4. Step 4: Simplify right side
    19,653x = 293,477,855.94
  5. Step 5: Solve for x
    x = 293,477,855.94/19,653
  6. Step 6: Final answer
    x = 14,932.98

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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.