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Finding the Fourth Proportional to 3,859.80, 5,780.38 and 2,211.34

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Solution

The fourth proportional to 3,859.80, 5,780.38 and 2,211.34 is: 3,311.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.80 : 5,780.38 = 2,211.34 : x
  2. Step 2: Convert to fraction form
    3,859.80/5,780.38 = 2,211.34/x
  3. Step 3: Cross multiply
    3,859.80x = 5,780.38 × 2,211.34
  4. Step 4: Simplify right side
    3,859.80x = 12,782,385.51
  5. Step 5: Solve for x
    x = 12,782,385.51/3,859.80
  6. Step 6: Final answer
    x = 3,311.67

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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.