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Finding the Fourth Proportional to 9,399.92, 13,000.10 and 8,218.94

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Solution

The fourth proportional to 9,399.92, 13,000.10 and 8,218.94 is: 11,366.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.92 : 13,000.10 = 8,218.94 : x
  2. Step 2: Convert to fraction form
    9,399.92/13,000.10 = 8,218.94/x
  3. Step 3: Cross multiply
    9,399.92x = 13,000.10 × 8,218.94
  4. Step 4: Simplify right side
    9,399.92x = 106,846,935.80
  5. Step 5: Solve for x
    x = 106,846,935.80/9,399.92
  6. Step 6: Final answer
    x = 11,366.80

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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.