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Finding the Fourth Proportional to 6,187, 8,540.22 and 3,703

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Solution

The fourth proportional to 6,187, 8,540.22 and 3,703 is: 5,111.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187 : 8,540.22 = 3,703 : x
  2. Step 2: Convert to fraction form
    6,187/8,540.22 = 3,703/x
  3. Step 3: Cross multiply
    6,187x = 8,540.22 × 3,703
  4. Step 4: Simplify right side
    6,187x = 31,624,434.66
  5. Step 5: Solve for x
    x = 31,624,434.66/6,187
  6. Step 6: Final answer
    x = 5,111.43

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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.