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Finding the Fourth Proportional to 2,851.92, 4,277.88 and 1,938

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Solution

The fourth proportional to 2,851.92, 4,277.88 and 1,938 is: 2,907

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.92 : 4,277.88 = 1,938 : x
  2. Step 2: Convert to fraction form
    2,851.92/4,277.88 = 1,938/x
  3. Step 3: Cross multiply
    2,851.92x = 4,277.88 × 1,938
  4. Step 4: Simplify right side
    2,851.92x = 8,290,531.44
  5. Step 5: Solve for x
    x = 8,290,531.44/2,851.92
  6. Step 6: Final answer
    x = 2,907

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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.