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Finding the Fourth Proportional to 6,850, 9,450.84 and 4,196.08

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Solution

The fourth proportional to 6,850, 9,450.84 and 4,196.08 is: 5,789.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850 : 9,450.84 = 4,196.08 : x
  2. Step 2: Convert to fraction form
    6,850/9,450.84 = 4,196.08/x
  3. Step 3: Cross multiply
    6,850x = 9,450.84 × 4,196.08
  4. Step 4: Simplify right side
    6,850x = 39,656,480.71
  5. Step 5: Solve for x
    x = 39,656,480.71/6,850
  6. Step 6: Final answer
    x = 5,789.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.