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Finding the Fourth Proportional to 3,539.65, 5,309.75 and 1,074.67

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Solution

The fourth proportional to 3,539.65, 5,309.75 and 1,074.67 is: 1,612.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.65 : 5,309.75 = 1,074.67 : x
  2. Step 2: Convert to fraction form
    3,539.65/5,309.75 = 1,074.67/x
  3. Step 3: Cross multiply
    3,539.65x = 5,309.75 × 1,074.67
  4. Step 4: Simplify right side
    3,539.65x = 5,706,229.03
  5. Step 5: Solve for x
    x = 5,706,229.03/3,539.65
  6. Step 6: Final answer
    x = 1,612.09

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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.