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Finding the Fourth Proportional to 6,314.66, 8,714.06 and 3,661.90

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Solution

The fourth proportional to 6,314.66, 8,714.06 and 3,661.90 is: 5,053.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.66 : 8,714.06 = 3,661.90 : x
  2. Step 2: Convert to fraction form
    6,314.66/8,714.06 = 3,661.90/x
  3. Step 3: Cross multiply
    6,314.66x = 8,714.06 × 3,661.90
  4. Step 4: Simplify right side
    6,314.66x = 31,910,016.31
  5. Step 5: Solve for x
    x = 31,910,016.31/6,314.66
  6. Step 6: Final answer
    x = 5,053.32

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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.