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Finding the Fourth Proportional to 5,806.85, 8,711.42 and 2,109.20

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Solution

The fourth proportional to 5,806.85, 8,711.42 and 2,109.20 is: 3,164.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.85 : 8,711.42 = 2,109.20 : x
  2. Step 2: Convert to fraction form
    5,806.85/8,711.42 = 2,109.20/x
  3. Step 3: Cross multiply
    5,806.85x = 8,711.42 × 2,109.20
  4. Step 4: Simplify right side
    5,806.85x = 18,374,072.96
  5. Step 5: Solve for x
    x = 18,374,072.96/5,806.85
  6. Step 6: Final answer
    x = 3,164.21

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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.