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Finding the Fourth Proportional to 7,800.44, 11,705.43 and 3,854.21

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Solution

The fourth proportional to 7,800.44, 11,705.43 and 3,854.21 is: 5,783.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.44 : 11,705.43 = 3,854.21 : x
  2. Step 2: Convert to fraction form
    7,800.44/11,705.43 = 3,854.21/x
  3. Step 3: Cross multiply
    7,800.44x = 11,705.43 × 3,854.21
  4. Step 4: Simplify right side
    7,800.44x = 45,115,185.36
  5. Step 5: Solve for x
    x = 45,115,185.36/7,800.44
  6. Step 6: Final answer
    x = 5,783.67

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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.