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Finding the Fourth Proportional to 4,278.88, 6,418 and 2,546

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Solution

The fourth proportional to 4,278.88, 6,418 and 2,546 is: 3,818.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,278.88 : 6,418 = 2,546 : x
  2. Step 2: Convert to fraction form
    4,278.88/6,418 = 2,546/x
  3. Step 3: Cross multiply
    4,278.88x = 6,418 × 2,546
  4. Step 4: Simplify right side
    4,278.88x = 16,340,228
  5. Step 5: Solve for x
    x = 16,340,228/4,278.88
  6. Step 6: Final answer
    x = 3,818.81

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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.