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Finding the Fourth Proportional to 12,123.56, 16,728 and 7,086.80

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Solution

The fourth proportional to 12,123.56, 16,728 and 7,086.80 is: 9,778.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123.56 : 16,728 = 7,086.80 : x
  2. Step 2: Convert to fraction form
    12,123.56/16,728 = 7,086.80/x
  3. Step 3: Cross multiply
    12,123.56x = 16,728 × 7,086.80
  4. Step 4: Simplify right side
    12,123.56x = 118,548,032.22
  5. Step 5: Solve for x
    x = 118,548,032.22/12,123.56
  6. Step 6: Final answer
    x = 9,778.32

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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.