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Finding the Fourth Proportional to 7,141.89, 10,708.83 and 4,020.51

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Solution

The fourth proportional to 7,141.89, 10,708.83 and 4,020.51 is: 6,028.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.89 : 10,708.83 = 4,020.51 : x
  2. Step 2: Convert to fraction form
    7,141.89/10,708.83 = 4,020.51/x
  3. Step 3: Cross multiply
    7,141.89x = 10,708.83 × 4,020.51
  4. Step 4: Simplify right side
    7,141.89x = 43,054,958.10
  5. Step 5: Solve for x
    x = 43,054,958.10/7,141.89
  6. Step 6: Final answer
    x = 6,028.51

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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.