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Finding the Fourth Proportional to 21,912.88, 32,873.92 and 7,122.16

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Solution

The fourth proportional to 21,912.88, 32,873.92 and 7,122.16 is: 10,684.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,912.88 : 32,873.92 = 7,122.16 : x
  2. Step 2: Convert to fraction form
    21,912.88/32,873.92 = 7,122.16/x
  3. Step 3: Cross multiply
    21,912.88x = 32,873.92 × 7,122.16
  4. Step 4: Simplify right side
    21,912.88x = 234,133,318.07
  5. Step 5: Solve for x
    x = 234,133,318.07/21,912.88
  6. Step 6: Final answer
    x = 10,684.74

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1.5x scale

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.