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Finding the Fourth Proportional to 17,821.82, 26,723.52 and 7,822.47

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Solution

The fourth proportional to 17,821.82, 26,723.52 and 7,822.47 is: 11,729.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,821.82 : 26,723.52 = 7,822.47 : x
  2. Step 2: Convert to fraction form
    17,821.82/26,723.52 = 7,822.47/x
  3. Step 3: Cross multiply
    17,821.82x = 26,723.52 × 7,822.47
  4. Step 4: Simplify right side
    17,821.82x = 209,044,033.71
  5. Step 5: Solve for x
    x = 209,044,033.71/17,821.82
  6. Step 6: Final answer
    x = 11,729.67

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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.