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Finding the Fourth Proportional to 54,723, 82,084.50 and 13,170

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Solution

The fourth proportional to 54,723, 82,084.50 and 13,170 is: 19,755

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,723 : 82,084.50 = 13,170 : x
  2. Step 2: Convert to fraction form
    54,723/82,084.50 = 13,170/x
  3. Step 3: Cross multiply
    54,723x = 82,084.50 × 13,170
  4. Step 4: Simplify right side
    54,723x = 1,081,052,865
  5. Step 5: Solve for x
    x = 1,081,052,865/54,723
  6. Step 6: Final answer
    x = 19,755

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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.