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Finding the Fourth Proportional to 5,909.70, 8,855.32 and 3,412.43

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Solution

The fourth proportional to 5,909.70, 8,855.32 and 3,412.43 is: 5,113.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909.70 : 8,855.32 = 3,412.43 : x
  2. Step 2: Convert to fraction form
    5,909.70/8,855.32 = 3,412.43/x
  3. Step 3: Cross multiply
    5,909.70x = 8,855.32 × 3,412.43
  4. Step 4: Simplify right side
    5,909.70x = 30,218,119.62
  5. Step 5: Solve for x
    x = 30,218,119.62/5,909.70
  6. Step 6: Final answer
    x = 5,113.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.