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Finding the Fourth Proportional to 8,342.49, 11,511.50 and 4,984.59

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Solution

The fourth proportional to 8,342.49, 11,511.50 and 4,984.59 is: 6,878.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.49 : 11,511.50 = 4,984.59 : x
  2. Step 2: Convert to fraction form
    8,342.49/11,511.50 = 4,984.59/x
  3. Step 3: Cross multiply
    8,342.49x = 11,511.50 × 4,984.59
  4. Step 4: Simplify right side
    8,342.49x = 57,380,163.41
  5. Step 5: Solve for x
    x = 57,380,163.41/8,342.49
  6. Step 6: Final answer
    x = 6,878.06

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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.