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Finding the Fourth Proportional to 39,849, 54,991.62 and 22,185

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Solution

The fourth proportional to 39,849, 54,991.62 and 22,185 is: 30,615.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,849 : 54,991.62 = 22,185 : x
  2. Step 2: Convert to fraction form
    39,849/54,991.62 = 22,185/x
  3. Step 3: Cross multiply
    39,849x = 54,991.62 × 22,185
  4. Step 4: Simplify right side
    39,849x = 1,219,989,089.70
  5. Step 5: Solve for x
    x = 1,219,989,089.70/39,849
  6. Step 6: Final answer
    x = 30,615.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.