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Finding the Fourth Proportional to 54,720, 82,080 and 13,167

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Solution

The fourth proportional to 54,720, 82,080 and 13,167 is: 19,750.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,720 : 82,080 = 13,167 : x
  2. Step 2: Convert to fraction form
    54,720/82,080 = 13,167/x
  3. Step 3: Cross multiply
    54,720x = 82,080 × 13,167
  4. Step 4: Simplify right side
    54,720x = 1,080,747,360
  5. Step 5: Solve for x
    x = 1,080,747,360/54,720
  6. Step 6: Final answer
    x = 19,750.50

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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.