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Finding the Fourth Proportional to 18,642.79, 27,947.61 and 6,794.34

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Solution

The fourth proportional to 18,642.79, 27,947.61 and 6,794.34 is: 10,185.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642.79 : 27,947.61 = 6,794.34 : x
  2. Step 2: Convert to fraction form
    18,642.79/27,947.61 = 6,794.34/x
  3. Step 3: Cross multiply
    18,642.79x = 27,947.61 × 6,794.34
  4. Step 4: Simplify right side
    18,642.79x = 189,885,434.25
  5. Step 5: Solve for x
    x = 189,885,434.25/18,642.79
  6. Step 6: Final answer
    x = 10,185.46

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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.