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Finding the Fourth Proportional to 6,481.52, 9,726 and 2,783.60

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Solution

The fourth proportional to 6,481.52, 9,726 and 2,783.60 is: 4,177.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.52 : 9,726 = 2,783.60 : x
  2. Step 2: Convert to fraction form
    6,481.52/9,726 = 2,783.60/x
  3. Step 3: Cross multiply
    6,481.52x = 9,726 × 2,783.60
  4. Step 4: Simplify right side
    6,481.52x = 27,073,293.60
  5. Step 5: Solve for x
    x = 27,073,293.60/6,481.52
  6. Step 6: Final answer
    x = 4,177.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.