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Finding the Fourth Proportional to 13,173.31, 18,178.99 and 7,204.83

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Solution

The fourth proportional to 13,173.31, 18,178.99 and 7,204.83 is: 9,942.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,173.31 : 18,178.99 = 7,204.83 : x
  2. Step 2: Convert to fraction form
    13,173.31/18,178.99 = 7,204.83/x
  3. Step 3: Cross multiply
    13,173.31x = 18,178.99 × 7,204.83
  4. Step 4: Simplify right side
    13,173.31x = 130,976,532.52
  5. Step 5: Solve for x
    x = 130,976,532.52/13,173.31
  6. Step 6: Final answer
    x = 9,942.57

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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.