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Finding the Fourth Proportional to 22,469.76, 33,704.19 and 9,986.40

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Solution

The fourth proportional to 22,469.76, 33,704.19 and 9,986.40 is: 14,979.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,469.76 : 33,704.19 = 9,986.40 : x
  2. Step 2: Convert to fraction form
    22,469.76/33,704.19 = 9,986.40/x
  3. Step 3: Cross multiply
    22,469.76x = 33,704.19 × 9,986.40
  4. Step 4: Simplify right side
    22,469.76x = 336,583,523.02
  5. Step 5: Solve for x
    x = 336,583,523.02/22,469.76
  6. Step 6: Final answer
    x = 14,979.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.