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Finding the Fourth Proportional to 5,716.85, 8,570.34 and 2,209.32

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Solution

The fourth proportional to 5,716.85, 8,570.34 and 2,209.32 is: 3,312.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.85 : 8,570.34 = 2,209.32 : x
  2. Step 2: Convert to fraction form
    5,716.85/8,570.34 = 2,209.32/x
  3. Step 3: Cross multiply
    5,716.85x = 8,570.34 × 2,209.32
  4. Step 4: Simplify right side
    5,716.85x = 18,934,586.05
  5. Step 5: Solve for x
    x = 18,934,586.05/5,716.85
  6. Step 6: Final answer
    x = 3,312.07

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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.