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Finding the Fourth Proportional to 11,459.75, 17,188.11 and 5,213.03

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Solution

The fourth proportional to 11,459.75, 17,188.11 and 5,213.03 is: 7,818.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,459.75 : 17,188.11 = 5,213.03 : x
  2. Step 2: Convert to fraction form
    11,459.75/17,188.11 = 5,213.03/x
  3. Step 3: Cross multiply
    11,459.75x = 17,188.11 × 5,213.03
  4. Step 4: Simplify right side
    11,459.75x = 89,602,176.04
  5. Step 5: Solve for x
    x = 89,602,176.04/11,459.75
  6. Step 6: Final answer
    x = 7,818.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.