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Finding the Fourth Proportional to 21,722.67, 29,978.48 and 12,162.02

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Solution

The fourth proportional to 21,722.67, 29,978.48 and 12,162.02 is: 16,784.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,722.67 : 29,978.48 = 12,162.02 : x
  2. Step 2: Convert to fraction form
    21,722.67/29,978.48 = 12,162.02/x
  3. Step 3: Cross multiply
    21,722.67x = 29,978.48 × 12,162.02
  4. Step 4: Simplify right side
    21,722.67x = 364,598,753.84
  5. Step 5: Solve for x
    x = 364,598,753.84/21,722.67
  6. Step 6: Final answer
    x = 16,784.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.