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Finding the Fourth Proportional to 2,209.88, 3,314.82 and 670.88

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Solution

The fourth proportional to 2,209.88, 3,314.82 and 670.88 is: 1,006.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.88 : 3,314.82 = 670.88 : x
  2. Step 2: Convert to fraction form
    2,209.88/3,314.82 = 670.88/x
  3. Step 3: Cross multiply
    2,209.88x = 3,314.82 × 670.88
  4. Step 4: Simplify right side
    2,209.88x = 2,223,829.87
  5. Step 5: Solve for x
    x = 2,223,829.87/2,209.88
  6. Step 6: Final answer
    x = 1,006.31

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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.