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Finding the Fourth Proportional to 9,409.92, 12,969.09 and 8,323.62

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Solution

The fourth proportional to 9,409.92, 12,969.09 and 8,323.62 is: 11,471.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.92 : 12,969.09 = 8,323.62 : x
  2. Step 2: Convert to fraction form
    9,409.92/12,969.09 = 8,323.62/x
  3. Step 3: Cross multiply
    9,409.92x = 12,969.09 × 8,323.62
  4. Step 4: Simplify right side
    9,409.92x = 107,949,776.91
  5. Step 5: Solve for x
    x = 107,949,776.91/9,409.92
  6. Step 6: Final answer
    x = 11,471.91

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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.