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Finding the Fourth Proportional to 19,882.99, 27,438 and 10,930.57

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Solution

The fourth proportional to 19,882.99, 27,438 and 10,930.57 is: 15,083.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882.99 : 27,438 = 10,930.57 : x
  2. Step 2: Convert to fraction form
    19,882.99/27,438 = 10,930.57/x
  3. Step 3: Cross multiply
    19,882.99x = 27,438 × 10,930.57
  4. Step 4: Simplify right side
    19,882.99x = 299,912,979.66
  5. Step 5: Solve for x
    x = 299,912,979.66/19,882.99
  6. Step 6: Final answer
    x = 15,083.90

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1.5x scale

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.