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Finding the Fourth Proportional to 15,107.97, 20,842.31 and 10,067.28

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Solution

The fourth proportional to 15,107.97, 20,842.31 and 10,067.28 is: 13,888.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,107.97 : 20,842.31 = 10,067.28 : x
  2. Step 2: Convert to fraction form
    15,107.97/20,842.31 = 10,067.28/x
  3. Step 3: Cross multiply
    15,107.97x = 20,842.31 × 10,067.28
  4. Step 4: Simplify right side
    15,107.97x = 209,825,320.28
  5. Step 5: Solve for x
    x = 209,825,320.28/15,107.97
  6. Step 6: Final answer
    x = 13,888.39

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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.