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Finding the Fourth Proportional to 6,116, 8,440 and 3,321.60

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Solution

The fourth proportional to 6,116, 8,440 and 3,321.60 is: 4,583.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116 : 8,440 = 3,321.60 : x
  2. Step 2: Convert to fraction form
    6,116/8,440 = 3,321.60/x
  3. Step 3: Cross multiply
    6,116x = 8,440 × 3,321.60
  4. Step 4: Simplify right side
    6,116x = 28,034,304
  5. Step 5: Solve for x
    x = 28,034,304/6,116
  6. Step 6: Final answer
    x = 4,583.76

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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.