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Finding the Fourth Proportional to 3,502.87, 5,255.09 and 1,311.62

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Solution

The fourth proportional to 3,502.87, 5,255.09 and 1,311.62 is: 1,967.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.87 : 5,255.09 = 1,311.62 : x
  2. Step 2: Convert to fraction form
    3,502.87/5,255.09 = 1,311.62/x
  3. Step 3: Cross multiply
    3,502.87x = 5,255.09 × 1,311.62
  4. Step 4: Simplify right side
    3,502.87x = 6,892,681.15
  5. Step 5: Solve for x
    x = 6,892,681.15/3,502.87
  6. Step 6: Final answer
    x = 1,967.72

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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.