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Finding the Fourth Proportional to 10,861.92, 16,283.16 and 8,085.24

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Solution

The fourth proportional to 10,861.92, 16,283.16 and 8,085.24 is: 12,120.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.92 : 16,283.16 = 8,085.24 : x
  2. Step 2: Convert to fraction form
    10,861.92/16,283.16 = 8,085.24/x
  3. Step 3: Cross multiply
    10,861.92x = 16,283.16 × 8,085.24
  4. Step 4: Simplify right side
    10,861.92x = 131,653,256.56
  5. Step 5: Solve for x
    x = 131,653,256.56/10,861.92
  6. Step 6: Final answer
    x = 12,120.62

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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.