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Finding the Fourth Proportional to 12,170.22, 16,796.61 and 6,865.53

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Solution

The fourth proportional to 12,170.22, 16,796.61 and 6,865.53 is: 9,475.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.22 : 16,796.61 = 6,865.53 : x
  2. Step 2: Convert to fraction form
    12,170.22/16,796.61 = 6,865.53/x
  3. Step 3: Cross multiply
    12,170.22x = 16,796.61 × 6,865.53
  4. Step 4: Simplify right side
    12,170.22x = 115,317,629.85
  5. Step 5: Solve for x
    x = 115,317,629.85/12,170.22
  6. Step 6: Final answer
    x = 9,475.39

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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.