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Finding the Fourth Proportional to 15,016, 20,726.94 and 9,427

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Solution

The fourth proportional to 15,016, 20,726.94 and 9,427 is: 13,012.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,016 : 20,726.94 = 9,427 : x
  2. Step 2: Convert to fraction form
    15,016/20,726.94 = 9,427/x
  3. Step 3: Cross multiply
    15,016x = 20,726.94 × 9,427
  4. Step 4: Simplify right side
    15,016x = 195,392,863.38
  5. Step 5: Solve for x
    x = 195,392,863.38/15,016
  6. Step 6: Final answer
    x = 13,012.31

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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.