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Finding the Fourth Proportional to 19,805, 27,330.90 and 10,973

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Solution

The fourth proportional to 19,805, 27,330.90 and 10,973 is: 15,142.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,805 : 27,330.90 = 10,973 : x
  2. Step 2: Convert to fraction form
    19,805/27,330.90 = 10,973/x
  3. Step 3: Cross multiply
    19,805x = 27,330.90 × 10,973
  4. Step 4: Simplify right side
    19,805x = 299,901,965.70
  5. Step 5: Solve for x
    x = 299,901,965.70/19,805
  6. Step 6: Final answer
    x = 15,142.74

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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.