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Finding the Fourth Proportional to 12,994.36, 17,932.98 and 7,687.96

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Solution

The fourth proportional to 12,994.36, 17,932.98 and 7,687.96 is: 10,609.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,994.36 : 17,932.98 = 7,687.96 : x
  2. Step 2: Convert to fraction form
    12,994.36/17,932.98 = 7,687.96/x
  3. Step 3: Cross multiply
    12,994.36x = 17,932.98 × 7,687.96
  4. Step 4: Simplify right side
    12,994.36x = 137,868,032.92
  5. Step 5: Solve for x
    x = 137,868,032.92/12,994.36
  6. Step 6: Final answer
    x = 10,609.84

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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.