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Finding the Fourth Proportional to 21,415.68, 32,122.88 and 20,832

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Solution

The fourth proportional to 21,415.68, 32,122.88 and 20,832 is: 31,247.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,415.68 : 32,122.88 = 20,832 : x
  2. Step 2: Convert to fraction form
    21,415.68/32,122.88 = 20,832/x
  3. Step 3: Cross multiply
    21,415.68x = 32,122.88 × 20,832
  4. Step 4: Simplify right side
    21,415.68x = 669,183,836.16
  5. Step 5: Solve for x
    x = 669,183,836.16/21,415.68
  6. Step 6: Final answer
    x = 31,247.38

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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.