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Finding the Fourth Proportional to 21,912.39, 32,892 and 9,438.60

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Solution

The fourth proportional to 21,912.39, 32,892 and 9,438.60 is: 14,167.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,912.39 : 32,892 = 9,438.60 : x
  2. Step 2: Convert to fraction form
    21,912.39/32,892 = 9,438.60/x
  3. Step 3: Cross multiply
    21,912.39x = 32,892 × 9,438.60
  4. Step 4: Simplify right side
    21,912.39x = 310,454,431.20
  5. Step 5: Solve for x
    x = 310,454,431.20/21,912.39
  6. Step 6: Final answer
    x = 14,167.99

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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.