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Finding the Fourth Proportional to 12,182.88, 18,237.06 and 7,804.56

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Solution

The fourth proportional to 12,182.88, 18,237.06 and 7,804.56 is: 11,682.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.88 : 18,237.06 = 7,804.56 : x
  2. Step 2: Convert to fraction form
    12,182.88/18,237.06 = 7,804.56/x
  3. Step 3: Cross multiply
    12,182.88x = 18,237.06 × 7,804.56
  4. Step 4: Simplify right side
    12,182.88x = 142,332,228.99
  5. Step 5: Solve for x
    x = 142,332,228.99/12,182.88
  6. Step 6: Final answer
    x = 11,682.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.