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Finding the Fourth Proportional to 3,452.98, 4,734.01 and 3,390.80

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Solution

The fourth proportional to 3,452.98, 4,734.01 and 3,390.80 is: 4,648.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.98 : 4,734.01 = 3,390.80 : x
  2. Step 2: Convert to fraction form
    3,452.98/4,734.01 = 3,390.80/x
  3. Step 3: Cross multiply
    3,452.98x = 4,734.01 × 3,390.80
  4. Step 4: Simplify right side
    3,452.98x = 16,052,081.11
  5. Step 5: Solve for x
    x = 16,052,081.11/3,452.98
  6. Step 6: Final answer
    x = 4,648.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.