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Finding the Fourth Proportional to 57,619, 86,428.50 and 13,843

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Solution

The fourth proportional to 57,619, 86,428.50 and 13,843 is: 20,764.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,619 : 86,428.50 = 13,843 : x
  2. Step 2: Convert to fraction form
    57,619/86,428.50 = 13,843/x
  3. Step 3: Cross multiply
    57,619x = 86,428.50 × 13,843
  4. Step 4: Simplify right side
    57,619x = 1,196,429,725.50
  5. Step 5: Solve for x
    x = 1,196,429,725.50/57,619
  6. Step 6: Final answer
    x = 20,764.50

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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.