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Finding the Fourth Proportional to 4,028, 6,042 and 1,431.04

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Solution

The fourth proportional to 4,028, 6,042 and 1,431.04 is: 2,146.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,028 : 6,042 = 1,431.04 : x
  2. Step 2: Convert to fraction form
    4,028/6,042 = 1,431.04/x
  3. Step 3: Cross multiply
    4,028x = 6,042 × 1,431.04
  4. Step 4: Simplify right side
    4,028x = 8,646,343.68
  5. Step 5: Solve for x
    x = 8,646,343.68/4,028
  6. Step 6: Final answer
    x = 2,146.56

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Why These Related Problems?

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