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Finding the Fourth Proportional to 8,570.82, 12,858.12 and 3,644.67

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Solution

The fourth proportional to 8,570.82, 12,858.12 and 3,644.67 is: 5,467.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.82 : 12,858.12 = 3,644.67 : x
  2. Step 2: Convert to fraction form
    8,570.82/12,858.12 = 3,644.67/x
  3. Step 3: Cross multiply
    8,570.82x = 12,858.12 × 3,644.67
  4. Step 4: Simplify right side
    8,570.82x = 46,863,604.22
  5. Step 5: Solve for x
    x = 46,863,604.22/8,570.82
  6. Step 6: Final answer
    x = 5,467.81

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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.