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Finding the Fourth Proportional to 7,242.75, 10,861.29 and 3,084.66

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Solution

The fourth proportional to 7,242.75, 10,861.29 and 3,084.66 is: 4,625.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.75 : 10,861.29 = 3,084.66 : x
  2. Step 2: Convert to fraction form
    7,242.75/10,861.29 = 3,084.66/x
  3. Step 3: Cross multiply
    7,242.75x = 10,861.29 × 3,084.66
  4. Step 4: Simplify right side
    7,242.75x = 33,503,386.81
  5. Step 5: Solve for x
    x = 33,503,386.81/7,242.75
  6. Step 6: Final answer
    x = 4,625.78

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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.