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Finding the Fourth Proportional to 19,907.26, 27,471.42 and 10,954.78

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Solution

The fourth proportional to 19,907.26, 27,471.42 and 10,954.78 is: 15,117.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,907.26 : 27,471.42 = 10,954.78 : x
  2. Step 2: Convert to fraction form
    19,907.26/27,471.42 = 10,954.78/x
  3. Step 3: Cross multiply
    19,907.26x = 27,471.42 × 10,954.78
  4. Step 4: Simplify right side
    19,907.26x = 300,943,362.39
  5. Step 5: Solve for x
    x = 300,943,362.39/19,907.26
  6. Step 6: Final answer
    x = 15,117.27

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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.