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Finding the Fourth Proportional to 3,350, 4,623 and 1,878

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Solution

The fourth proportional to 3,350, 4,623 and 1,878 is: 2,591.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,350 : 4,623 = 1,878 : x
  2. Step 2: Convert to fraction form
    3,350/4,623 = 1,878/x
  3. Step 3: Cross multiply
    3,350x = 4,623 × 1,878
  4. Step 4: Simplify right side
    3,350x = 8,681,994
  5. Step 5: Solve for x
    x = 8,681,994/3,350
  6. Step 6: Final answer
    x = 2,591.64

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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.