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Finding the Fourth Proportional to 13,200.82, 18,205.50 and 8,164.24

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Solution

The fourth proportional to 13,200.82, 18,205.50 and 8,164.24 is: 11,259.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,200.82 : 18,205.50 = 8,164.24 : x
  2. Step 2: Convert to fraction form
    13,200.82/18,205.50 = 8,164.24/x
  3. Step 3: Cross multiply
    13,200.82x = 18,205.50 × 8,164.24
  4. Step 4: Simplify right side
    13,200.82x = 148,634,071.32
  5. Step 5: Solve for x
    x = 148,634,071.32/13,200.82
  6. Step 6: Final answer
    x = 11,259.46

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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.