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Finding the Fourth Proportional to 11,993, 16,570.68 and 8,629.16

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Solution

The fourth proportional to 11,993, 16,570.68 and 8,629.16 is: 11,922.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993 : 16,570.68 = 8,629.16 : x
  2. Step 2: Convert to fraction form
    11,993/16,570.68 = 8,629.16/x
  3. Step 3: Cross multiply
    11,993x = 16,570.68 × 8,629.16
  4. Step 4: Simplify right side
    11,993x = 142,991,049.03
  5. Step 5: Solve for x
    x = 142,991,049.03/11,993
  6. Step 6: Final answer
    x = 11,922.88

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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.