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Finding the Fourth Proportional to 3,040.25, 4,195.55 and 1,643

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Solution

The fourth proportional to 3,040.25, 4,195.55 and 1,643 is: 2,267.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040.25 : 4,195.55 = 1,643 : x
  2. Step 2: Convert to fraction form
    3,040.25/4,195.55 = 1,643/x
  3. Step 3: Cross multiply
    3,040.25x = 4,195.55 × 1,643
  4. Step 4: Simplify right side
    3,040.25x = 6,893,280.44
  5. Step 5: Solve for x
    x = 6,893,280.44/3,040.25
  6. Step 6: Final answer
    x = 2,267.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.