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Finding the Fourth Proportional to 16,422, 22,662.48 and 8,970

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Solution

The fourth proportional to 16,422, 22,662.48 and 8,970 is: 12,378.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,422 : 22,662.48 = 8,970 : x
  2. Step 2: Convert to fraction form
    16,422/22,662.48 = 8,970/x
  3. Step 3: Cross multiply
    16,422x = 22,662.48 × 8,970
  4. Step 4: Simplify right side
    16,422x = 203,282,445.60
  5. Step 5: Solve for x
    x = 203,282,445.60/16,422
  6. Step 6: Final answer
    x = 12,378.67

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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.