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Finding the Fourth Proportional to 15,185.92, 20,956 and 8,471.84

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Solution

The fourth proportional to 15,185.92, 20,956 and 8,471.84 is: 11,690.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,185.92 : 20,956 = 8,471.84 : x
  2. Step 2: Convert to fraction form
    15,185.92/20,956 = 8,471.84/x
  3. Step 3: Cross multiply
    15,185.92x = 20,956 × 8,471.84
  4. Step 4: Simplify right side
    15,185.92x = 177,535,879.04
  5. Step 5: Solve for x
    x = 177,535,879.04/15,185.92
  6. Step 6: Final answer
    x = 11,690.82

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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.