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Finding the Fourth Proportional to 7,861.50, 11,792.25 and 2,389.50

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Solution

The fourth proportional to 7,861.50, 11,792.25 and 2,389.50 is: 3,584.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.50 : 11,792.25 = 2,389.50 : x
  2. Step 2: Convert to fraction form
    7,861.50/11,792.25 = 2,389.50/x
  3. Step 3: Cross multiply
    7,861.50x = 11,792.25 × 2,389.50
  4. Step 4: Simplify right side
    7,861.50x = 28,177,581.38
  5. Step 5: Solve for x
    x = 28,177,581.38/7,861.50
  6. Step 6: Final answer
    x = 3,584.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.