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Finding the Fourth Proportional to 3,502.08, 4,832.43 and 2,370.22

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Solution

The fourth proportional to 3,502.08, 4,832.43 and 2,370.22 is: 3,270.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.08 : 4,832.43 = 2,370.22 : x
  2. Step 2: Convert to fraction form
    3,502.08/4,832.43 = 2,370.22/x
  3. Step 3: Cross multiply
    3,502.08x = 4,832.43 × 2,370.22
  4. Step 4: Simplify right side
    3,502.08x = 11,453,910.38
  5. Step 5: Solve for x
    x = 11,453,910.38/3,502.08
  6. Step 6: Final answer
    x = 3,270.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.