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Finding the Fourth Proportional to 3,480.91, 5,215.48 and 1,723.57

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Solution

The fourth proportional to 3,480.91, 5,215.48 and 1,723.57 is: 2,582.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.91 : 5,215.48 = 1,723.57 : x
  2. Step 2: Convert to fraction form
    3,480.91/5,215.48 = 1,723.57/x
  3. Step 3: Cross multiply
    3,480.91x = 5,215.48 × 1,723.57
  4. Step 4: Simplify right side
    3,480.91x = 8,989,244.86
  5. Step 5: Solve for x
    x = 8,989,244.86/3,480.91
  6. Step 6: Final answer
    x = 2,582.44

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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.