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Finding the Fourth Proportional to 3,793.80, 5,235.32 and 2,378.25

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Solution

The fourth proportional to 3,793.80, 5,235.32 and 2,378.25 is: 3,281.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.80 : 5,235.32 = 2,378.25 : x
  2. Step 2: Convert to fraction form
    3,793.80/5,235.32 = 2,378.25/x
  3. Step 3: Cross multiply
    3,793.80x = 5,235.32 × 2,378.25
  4. Step 4: Simplify right side
    3,793.80x = 12,450,907.08
  5. Step 5: Solve for x
    x = 12,450,907.08/3,793.80
  6. Step 6: Final answer
    x = 3,281.91

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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.