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Finding the Fourth Proportional to 2,645.21, 3,967.79 and 670.85

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Solution

The fourth proportional to 2,645.21, 3,967.79 and 670.85 is: 1,006.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.21 : 3,967.79 = 670.85 : x
  2. Step 2: Convert to fraction form
    2,645.21/3,967.79 = 670.85/x
  3. Step 3: Cross multiply
    2,645.21x = 3,967.79 × 670.85
  4. Step 4: Simplify right side
    2,645.21x = 2,661,788.57
  5. Step 5: Solve for x
    x = 2,661,788.57/2,645.21
  6. Step 6: Final answer
    x = 1,006.27

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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.