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Finding the Fourth Proportional to 3,170, 4,755.39 and 1,415

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Solution

The fourth proportional to 3,170, 4,755.39 and 1,415 is: 2,122.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170 : 4,755.39 = 1,415 : x
  2. Step 2: Convert to fraction form
    3,170/4,755.39 = 1,415/x
  3. Step 3: Cross multiply
    3,170x = 4,755.39 × 1,415
  4. Step 4: Simplify right side
    3,170x = 6,728,876.85
  5. Step 5: Solve for x
    x = 6,728,876.85/3,170
  6. Step 6: Final answer
    x = 2,122.67

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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.