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Finding the Fourth Proportional to 12,852.14, 17,736.33 and 7,186.69

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Solution

The fourth proportional to 12,852.14, 17,736.33 and 7,186.69 is: 9,917.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.14 : 17,736.33 = 7,186.69 : x
  2. Step 2: Convert to fraction form
    12,852.14/17,736.33 = 7,186.69/x
  3. Step 3: Cross multiply
    12,852.14x = 17,736.33 × 7,186.69
  4. Step 4: Simplify right side
    12,852.14x = 127,465,554.57
  5. Step 5: Solve for x
    x = 127,465,554.57/12,852.14
  6. Step 6: Final answer
    x = 9,917.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.