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Finding the Fourth Proportional to 2,757.46, 3,805.21 and 1,578.45

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Solution

The fourth proportional to 2,757.46, 3,805.21 and 1,578.45 is: 2,178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.46 : 3,805.21 = 1,578.45 : x
  2. Step 2: Convert to fraction form
    2,757.46/3,805.21 = 1,578.45/x
  3. Step 3: Cross multiply
    2,757.46x = 3,805.21 × 1,578.45
  4. Step 4: Simplify right side
    2,757.46x = 6,006,329.78
  5. Step 5: Solve for x
    x = 6,006,329.78/2,757.46
  6. Step 6: Final answer
    x = 2,178.21

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1.5x scale

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.