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Finding the Fourth Proportional to 11,476.70, 17,193.12 and 7,760.72

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Solution

The fourth proportional to 11,476.70, 17,193.12 and 7,760.72 is: 11,626.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,476.70 : 17,193.12 = 7,760.72 : x
  2. Step 2: Convert to fraction form
    11,476.70/17,193.12 = 7,760.72/x
  3. Step 3: Cross multiply
    11,476.70x = 17,193.12 × 7,760.72
  4. Step 4: Simplify right side
    11,476.70x = 133,430,990.25
  5. Step 5: Solve for x
    x = 133,430,990.25/11,476.70
  6. Step 6: Final answer
    x = 11,626.25

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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.