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Finding the Fourth Proportional to 5,494.80, 8,240.49 and 1,984.35

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Solution

The fourth proportional to 5,494.80, 8,240.49 and 1,984.35 is: 2,975.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.80 : 8,240.49 = 1,984.35 : x
  2. Step 2: Convert to fraction form
    5,494.80/8,240.49 = 1,984.35/x
  3. Step 3: Cross multiply
    5,494.80x = 8,240.49 × 1,984.35
  4. Step 4: Simplify right side
    5,494.80x = 16,352,016.33
  5. Step 5: Solve for x
    x = 16,352,016.33/5,494.80
  6. Step 6: Final answer
    x = 2,975.91

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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.