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Finding the Fourth Proportional to 13,133.16, 18,127.80 and 8,098.96

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Solution

The fourth proportional to 13,133.16, 18,127.80 and 8,098.96 is: 11,179.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.16 : 18,127.80 = 8,098.96 : x
  2. Step 2: Convert to fraction form
    13,133.16/18,127.80 = 8,098.96/x
  3. Step 3: Cross multiply
    13,133.16x = 18,127.80 × 8,098.96
  4. Step 4: Simplify right side
    13,133.16x = 146,816,327.09
  5. Step 5: Solve for x
    x = 146,816,327.09/13,133.16
  6. Step 6: Final answer
    x = 11,179.06

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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.