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Finding the Fourth Proportional to 54,812.36, 82,217.82 and 13,259

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Solution

The fourth proportional to 54,812.36, 82,217.82 and 13,259 is: 19,888.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,812.36 : 82,217.82 = 13,259 : x
  2. Step 2: Convert to fraction form
    54,812.36/82,217.82 = 13,259/x
  3. Step 3: Cross multiply
    54,812.36x = 82,217.82 × 13,259
  4. Step 4: Simplify right side
    54,812.36x = 1,090,126,075.38
  5. Step 5: Solve for x
    x = 1,090,126,075.38/54,812.36
  6. Step 6: Final answer
    x = 19,888.33

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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.