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Finding the Fourth Proportional to 2,029.08, 3,043.64 and 642.39

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Solution

The fourth proportional to 2,029.08, 3,043.64 and 642.39 is: 963.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.08 : 3,043.64 = 642.39 : x
  2. Step 2: Convert to fraction form
    2,029.08/3,043.64 = 642.39/x
  3. Step 3: Cross multiply
    2,029.08x = 3,043.64 × 642.39
  4. Step 4: Simplify right side
    2,029.08x = 1,955,203.90
  5. Step 5: Solve for x
    x = 1,955,203.90/2,029.08
  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.