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Finding the Fourth Proportional to 8,471.19, 11,696.07 and 6,478.27

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Solution

The fourth proportional to 8,471.19, 11,696.07 and 6,478.27 is: 8,944.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.19 : 11,696.07 = 6,478.27 : x
  2. Step 2: Convert to fraction form
    8,471.19/11,696.07 = 6,478.27/x
  3. Step 3: Cross multiply
    8,471.19x = 11,696.07 × 6,478.27
  4. Step 4: Simplify right side
    8,471.19x = 75,770,299.40
  5. Step 5: Solve for x
    x = 75,770,299.40/8,471.19
  6. Step 6: Final answer
    x = 8,944.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.