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Finding the Fourth Proportional to 6,511.24, 8,984.98 and 3,678.86

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Solution

The fourth proportional to 6,511.24, 8,984.98 and 3,678.86 is: 5,076.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.24 : 8,984.98 = 3,678.86 : x
  2. Step 2: Convert to fraction form
    6,511.24/8,984.98 = 3,678.86/x
  3. Step 3: Cross multiply
    6,511.24x = 8,984.98 × 3,678.86
  4. Step 4: Simplify right side
    6,511.24x = 33,054,474.33
  5. Step 5: Solve for x
    x = 33,054,474.33/6,511.24
  6. Step 6: Final answer
    x = 5,076.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.