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Finding the Fourth Proportional to 6,205.80, 9,308.70 and 4,091.70

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Solution

The fourth proportional to 6,205.80, 9,308.70 and 4,091.70 is: 6,137.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.80 : 9,308.70 = 4,091.70 : x
  2. Step 2: Convert to fraction form
    6,205.80/9,308.70 = 4,091.70/x
  3. Step 3: Cross multiply
    6,205.80x = 9,308.70 × 4,091.70
  4. Step 4: Simplify right side
    6,205.80x = 38,088,407.79
  5. Step 5: Solve for x
    x = 38,088,407.79/6,205.80
  6. Step 6: Final answer
    x = 6,137.55

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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.