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Finding the Fourth Proportional to 12,065.94, 18,082.71 and 7,904.16

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Solution

The fourth proportional to 12,065.94, 18,082.71 and 7,904.16 is: 11,845.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,065.94 : 18,082.71 = 7,904.16 : x
  2. Step 2: Convert to fraction form
    12,065.94/18,082.71 = 7,904.16/x
  3. Step 3: Cross multiply
    12,065.94x = 18,082.71 × 7,904.16
  4. Step 4: Simplify right side
    12,065.94x = 142,928,633.07
  5. Step 5: Solve for x
    x = 142,928,633.07/12,065.94
  6. Step 6: Final answer
    x = 11,845.63

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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.