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Finding the Fourth Proportional to 12,218.42, 16,861.47 and 6,629.42

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Solution

The fourth proportional to 12,218.42, 16,861.47 and 6,629.42 is: 9,148.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,218.42 : 16,861.47 = 6,629.42 : x
  2. Step 2: Convert to fraction form
    12,218.42/16,861.47 = 6,629.42/x
  3. Step 3: Cross multiply
    12,218.42x = 16,861.47 × 6,629.42
  4. Step 4: Simplify right side
    12,218.42x = 111,781,766.45
  5. Step 5: Solve for x
    x = 111,781,766.45/12,218.42
  6. Step 6: Final answer
    x = 9,148.63

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1.5x scale

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.