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Finding the Fourth Proportional to 2,028.63, 3,043.32 and 642.32

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Solution

The fourth proportional to 2,028.63, 3,043.32 and 642.32 is: 963.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.63 : 3,043.32 = 642.32 : x
  2. Step 2: Convert to fraction form
    2,028.63/3,043.32 = 642.32/x
  3. Step 3: Cross multiply
    2,028.63x = 3,043.32 × 642.32
  4. Step 4: Simplify right side
    2,028.63x = 1,954,774.14
  5. Step 5: Solve for x
    x = 1,954,774.14/2,028.63
  6. Step 6: Final answer
    x = 963.59

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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.