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Finding the Fourth Proportional to 3,808.48, 5,710.88 and 2,164.60

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Solution

The fourth proportional to 3,808.48, 5,710.88 and 2,164.60 is: 3,245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.48 : 5,710.88 = 2,164.60 : x
  2. Step 2: Convert to fraction form
    3,808.48/5,710.88 = 2,164.60/x
  3. Step 3: Cross multiply
    3,808.48x = 5,710.88 × 2,164.60
  4. Step 4: Simplify right side
    3,808.48x = 12,361,770.85
  5. Step 5: Solve for x
    x = 12,361,770.85/3,808.48
  6. Step 6: Final answer
    x = 3,245.85

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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.