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Finding the Fourth Proportional to 18,642.94, 27,969.28 and 6,956.26

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Solution

The fourth proportional to 18,642.94, 27,969.28 and 6,956.26 is: 10,436.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642.94 : 27,969.28 = 6,956.26 : x
  2. Step 2: Convert to fraction form
    18,642.94/27,969.28 = 6,956.26/x
  3. Step 3: Cross multiply
    18,642.94x = 27,969.28 × 6,956.26
  4. Step 4: Simplify right side
    18,642.94x = 194,561,583.69
  5. Step 5: Solve for x
    x = 194,561,583.69/18,642.94
  6. Step 6: Final answer
    x = 10,436.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.