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Finding the Fourth Proportional to 19,921.23, 27,491.31 and 10,969.29

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Solution

The fourth proportional to 19,921.23, 27,491.31 and 10,969.29 is: 15,137.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,921.23 : 27,491.31 = 10,969.29 : x
  2. Step 2: Convert to fraction form
    19,921.23/27,491.31 = 10,969.29/x
  3. Step 3: Cross multiply
    19,921.23x = 27,491.31 × 10,969.29
  4. Step 4: Simplify right side
    19,921.23x = 301,560,151.87
  5. Step 5: Solve for x
    x = 301,560,151.87/19,921.23
  6. Step 6: Final answer
    x = 15,137.63

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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.