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Finding the Fourth Proportional to 12,129.75, 16,739.19 and 7,938

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Solution

The fourth proportional to 12,129.75, 16,739.19 and 7,938 is: 10,954.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.75 : 16,739.19 = 7,938 : x
  2. Step 2: Convert to fraction form
    12,129.75/16,739.19 = 7,938/x
  3. Step 3: Cross multiply
    12,129.75x = 16,739.19 × 7,938
  4. Step 4: Simplify right side
    12,129.75x = 132,875,690.22
  5. Step 5: Solve for x
    x = 132,875,690.22/12,129.75
  6. Step 6: Final answer
    x = 10,954.53

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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.