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Finding the Fourth Proportional to 19,450, 26,841 and 10,618

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Solution

The fourth proportional to 19,450, 26,841 and 10,618 is: 14,652.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,450 : 26,841 = 10,618 : x
  2. Step 2: Convert to fraction form
    19,450/26,841 = 10,618/x
  3. Step 3: Cross multiply
    19,450x = 26,841 × 10,618
  4. Step 4: Simplify right side
    19,450x = 284,997,738
  5. Step 5: Solve for x
    x = 284,997,738/19,450
  6. Step 6: Final answer
    x = 14,652.84

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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.