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Finding the Fourth Proportional to 6,209.70, 9,314.82 and 3,091.20

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Solution

The fourth proportional to 6,209.70, 9,314.82 and 3,091.20 is: 4,636.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.70 : 9,314.82 = 3,091.20 : x
  2. Step 2: Convert to fraction form
    6,209.70/9,314.82 = 3,091.20/x
  3. Step 3: Cross multiply
    6,209.70x = 9,314.82 × 3,091.20
  4. Step 4: Simplify right side
    6,209.70x = 28,793,971.58
  5. Step 5: Solve for x
    x = 28,793,971.58/6,209.70
  6. Step 6: Final answer
    x = 4,636.93

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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.