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Finding the Fourth Proportional to 21,962.40, 32,936.40 and 8,109.60

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Solution

The fourth proportional to 21,962.40, 32,936.40 and 8,109.60 is: 12,161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,962.40 : 32,936.40 = 8,109.60 : x
  2. Step 2: Convert to fraction form
    21,962.40/32,936.40 = 8,109.60/x
  3. Step 3: Cross multiply
    21,962.40x = 32,936.40 × 8,109.60
  4. Step 4: Simplify right side
    21,962.40x = 267,101,029.44
  5. Step 5: Solve for x
    x = 267,101,029.44/21,962.40
  6. Step 6: Final answer
    x = 12,161.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.