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Finding the Fourth Proportional to 16,420, 22,659.72 and 8,968

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Solution

The fourth proportional to 16,420, 22,659.72 and 8,968 is: 12,375.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,420 : 22,659.72 = 8,968 : x
  2. Step 2: Convert to fraction form
    16,420/22,659.72 = 8,968/x
  3. Step 3: Cross multiply
    16,420x = 22,659.72 × 8,968
  4. Step 4: Simplify right side
    16,420x = 203,212,368.96
  5. Step 5: Solve for x
    x = 203,212,368.96/16,420
  6. Step 6: Final answer
    x = 12,375.91

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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.