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Finding the Fourth Proportional to 2,754.73, 4,125.41 and 1,294.30

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Solution

The fourth proportional to 2,754.73, 4,125.41 and 1,294.30 is: 1,938.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.73 : 4,125.41 = 1,294.30 : x
  2. Step 2: Convert to fraction form
    2,754.73/4,125.41 = 1,294.30/x
  3. Step 3: Cross multiply
    2,754.73x = 4,125.41 × 1,294.30
  4. Step 4: Simplify right side
    2,754.73x = 5,339,518.16
  5. Step 5: Solve for x
    x = 5,339,518.16/2,754.73
  6. Step 6: Final answer
    x = 1,938.31

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1.5x scale

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.