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Finding the Fourth Proportional to 54,828, 82,242.41 and 13,275

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Solution

The fourth proportional to 54,828, 82,242.41 and 13,275 is: 19,912.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,828 : 82,242.41 = 13,275 : x
  2. Step 2: Convert to fraction form
    54,828/82,242.41 = 13,275/x
  3. Step 3: Cross multiply
    54,828x = 82,242.41 × 13,275
  4. Step 4: Simplify right side
    54,828x = 1,091,767,926.38
  5. Step 5: Solve for x
    x = 1,091,767,926.38/54,828
  6. Step 6: Final answer
    x = 19,912.60

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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.