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Finding the Fourth Proportional to 21,957.25, 32,936.37 and 7,918.42

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Solution

The fourth proportional to 21,957.25, 32,936.37 and 7,918.42 is: 11,877.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,957.25 : 32,936.37 = 7,918.42 : x
  2. Step 2: Convert to fraction form
    21,957.25/32,936.37 = 7,918.42/x
  3. Step 3: Cross multiply
    21,957.25x = 32,936.37 × 7,918.42
  4. Step 4: Simplify right side
    21,957.25x = 260,804,010.94
  5. Step 5: Solve for x
    x = 260,804,010.94/21,957.25
  6. Step 6: Final answer
    x = 11,877.81

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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.