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Finding the Fourth Proportional to 2,800.41, 4,200.09 and 1,976.15

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Solution

The fourth proportional to 2,800.41, 4,200.09 and 1,976.15 is: 2,963.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.41 : 4,200.09 = 1,976.15 : x
  2. Step 2: Convert to fraction form
    2,800.41/4,200.09 = 1,976.15/x
  3. Step 3: Cross multiply
    2,800.41x = 4,200.09 × 1,976.15
  4. Step 4: Simplify right side
    2,800.41x = 8,299,986.85
  5. Step 5: Solve for x
    x = 8,299,986.85/2,800.41
  6. Step 6: Final answer
    x = 2,963.85

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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.