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Finding the Fourth Proportional to 6,276, 8,661.17 and 3,481.50

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Solution

The fourth proportional to 6,276, 8,661.17 and 3,481.50 is: 4,804.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276 : 8,661.17 = 3,481.50 : x
  2. Step 2: Convert to fraction form
    6,276/8,661.17 = 3,481.50/x
  3. Step 3: Cross multiply
    6,276x = 8,661.17 × 3,481.50
  4. Step 4: Simplify right side
    6,276x = 30,153,845.95
  5. Step 5: Solve for x
    x = 30,153,845.95/6,276
  6. Step 6: Final answer
    x = 4,804.63

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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.