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Finding the Fourth Proportional to 3,880.96, 5,823.24 and 3,158.80

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Solution

The fourth proportional to 3,880.96, 5,823.24 and 3,158.80 is: 4,739.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.96 : 5,823.24 = 3,158.80 : x
  2. Step 2: Convert to fraction form
    3,880.96/5,823.24 = 3,158.80/x
  3. Step 3: Cross multiply
    3,880.96x = 5,823.24 × 3,158.80
  4. Step 4: Simplify right side
    3,880.96x = 18,394,450.51
  5. Step 5: Solve for x
    x = 18,394,450.51/3,880.96
  6. Step 6: Final answer
    x = 4,739.67

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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.