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Finding the Fourth Proportional to 21,243.81, 31,845.81 and 7,194.03

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Solution

The fourth proportional to 21,243.81, 31,845.81 and 7,194.03 is: 10,784.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,243.81 : 31,845.81 = 7,194.03 : x
  2. Step 2: Convert to fraction form
    21,243.81/31,845.81 = 7,194.03/x
  3. Step 3: Cross multiply
    21,243.81x = 31,845.81 × 7,194.03
  4. Step 4: Simplify right side
    21,243.81x = 229,099,712.51
  5. Step 5: Solve for x
    x = 229,099,712.51/21,243.81
  6. Step 6: Final answer
    x = 10,784.30

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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.