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Finding the Fourth Proportional to 11,689.43, 17,534.30 and 3,898.25

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Solution

The fourth proportional to 11,689.43, 17,534.30 and 3,898.25 is: 5,847.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.43 : 17,534.30 = 3,898.25 : x
  2. Step 2: Convert to fraction form
    11,689.43/17,534.30 = 3,898.25/x
  3. Step 3: Cross multiply
    11,689.43x = 17,534.30 × 3,898.25
  4. Step 4: Simplify right side
    11,689.43x = 68,352,977.81
  5. Step 5: Solve for x
    x = 68,352,977.81/11,689.43
  6. Step 6: Final answer
    x = 5,847.42

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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.