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Finding the Fourth Proportional to 19,344.96, 29,022.30 and 7,658.28

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Solution

The fourth proportional to 19,344.96, 29,022.30 and 7,658.28 is: 11,489.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,344.96 : 29,022.30 = 7,658.28 : x
  2. Step 2: Convert to fraction form
    19,344.96/29,022.30 = 7,658.28/x
  3. Step 3: Cross multiply
    19,344.96x = 29,022.30 × 7,658.28
  4. Step 4: Simplify right side
    19,344.96x = 222,260,899.64
  5. Step 5: Solve for x
    x = 222,260,899.64/19,344.96
  6. Step 6: Final answer
    x = 11,489.34

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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.