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Finding the Fourth Proportional to 8,469, 12,704.40 and 2,920.80

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Solution

The fourth proportional to 8,469, 12,704.40 and 2,920.80 is: 4,381.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469 : 12,704.40 = 2,920.80 : x
  2. Step 2: Convert to fraction form
    8,469/12,704.40 = 2,920.80/x
  3. Step 3: Cross multiply
    8,469x = 12,704.40 × 2,920.80
  4. Step 4: Simplify right side
    8,469x = 37,107,011.52
  5. Step 5: Solve for x
    x = 37,107,011.52/8,469
  6. Step 6: Final answer
    x = 4,381.51

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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.