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Finding the Fourth Proportional to 7,902.27, 11,857.10 and 3,459.37

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Solution

The fourth proportional to 7,902.27, 11,857.10 and 3,459.37 is: 5,190.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.27 : 11,857.10 = 3,459.37 : x
  2. Step 2: Convert to fraction form
    7,902.27/11,857.10 = 3,459.37/x
  3. Step 3: Cross multiply
    7,902.27x = 11,857.10 × 3,459.37
  4. Step 4: Simplify right side
    7,902.27x = 41,018,036.74
  5. Step 5: Solve for x
    x = 41,018,036.74/7,902.27
  6. Step 6: Final answer
    x = 5,190.67

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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.