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Finding the Fourth Proportional to 16,825, 23,218.20 and 9,271.84

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Solution

The fourth proportional to 16,825, 23,218.20 and 9,271.84 is: 12,794.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,825 : 23,218.20 = 9,271.84 : x
  2. Step 2: Convert to fraction form
    16,825/23,218.20 = 9,271.84/x
  3. Step 3: Cross multiply
    16,825x = 23,218.20 × 9,271.84
  4. Step 4: Simplify right side
    16,825x = 215,275,435.49
  5. Step 5: Solve for x
    x = 215,275,435.49/16,825
  6. Step 6: Final answer
    x = 12,794.97

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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.