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Finding the Fourth Proportional to 4,278, 6,418.08 and 1,200

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Solution

The fourth proportional to 4,278, 6,418.08 and 1,200 is: 1,800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,278 : 6,418.08 = 1,200 : x
  2. Step 2: Convert to fraction form
    4,278/6,418.08 = 1,200/x
  3. Step 3: Cross multiply
    4,278x = 6,418.08 × 1,200
  4. Step 4: Simplify right side
    4,278x = 7,701,696
  5. Step 5: Solve for x
    x = 7,701,696/4,278
  6. Step 6: Final answer
    x = 1,800.30

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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.