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Finding the Fourth Proportional to 11,812.48, 17,706.56 and 5,241.76

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Solution

The fourth proportional to 11,812.48, 17,706.56 and 5,241.76 is: 7,857.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.48 : 17,706.56 = 5,241.76 : x
  2. Step 2: Convert to fraction form
    11,812.48/17,706.56 = 5,241.76/x
  3. Step 3: Cross multiply
    11,812.48x = 17,706.56 × 5,241.76
  4. Step 4: Simplify right side
    11,812.48x = 92,813,537.95
  5. Step 5: Solve for x
    x = 92,813,537.95/11,812.48
  6. Step 6: Final answer
    x = 7,857.24

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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.