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Finding the Fourth Proportional to 13,081.50, 18,052.47 and 7,416.36

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Solution

The fourth proportional to 13,081.50, 18,052.47 and 7,416.36 is: 10,234.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,081.50 : 18,052.47 = 7,416.36 : x
  2. Step 2: Convert to fraction form
    13,081.50/18,052.47 = 7,416.36/x
  3. Step 3: Cross multiply
    13,081.50x = 18,052.47 × 7,416.36
  4. Step 4: Simplify right side
    13,081.50x = 133,883,616.41
  5. Step 5: Solve for x
    x = 133,883,616.41/13,081.50
  6. Step 6: Final answer
    x = 10,234.58

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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.