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Finding the Fourth Proportional to 54,724, 82,086 and 13,171

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Solution

The fourth proportional to 54,724, 82,086 and 13,171 is: 19,756.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,724 : 82,086 = 13,171 : x
  2. Step 2: Convert to fraction form
    54,724/82,086 = 13,171/x
  3. Step 3: Cross multiply
    54,724x = 82,086 × 13,171
  4. Step 4: Simplify right side
    54,724x = 1,081,154,706
  5. Step 5: Solve for x
    x = 1,081,154,706/54,724
  6. Step 6: Final answer
    x = 19,756.50

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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.