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Finding the Fourth Proportional to 19,626.31, 29,440.14 and 7,782.33

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Solution

The fourth proportional to 19,626.31, 29,440.14 and 7,782.33 is: 11,673.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,626.31 : 29,440.14 = 7,782.33 : x
  2. Step 2: Convert to fraction form
    19,626.31/29,440.14 = 7,782.33/x
  3. Step 3: Cross multiply
    19,626.31x = 29,440.14 × 7,782.33
  4. Step 4: Simplify right side
    19,626.31x = 229,112,884.73
  5. Step 5: Solve for x
    x = 229,112,884.73/19,626.31
  6. Step 6: Final answer
    x = 11,673.76

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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.