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Finding the Fourth Proportional to 13,190.80, 19,783 and 4,423.44

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Solution

The fourth proportional to 13,190.80, 19,783 and 4,423.44 is: 6,634.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,190.80 : 19,783 = 4,423.44 : x
  2. Step 2: Convert to fraction form
    13,190.80/19,783 = 4,423.44/x
  3. Step 3: Cross multiply
    13,190.80x = 19,783 × 4,423.44
  4. Step 4: Simplify right side
    13,190.80x = 87,508,913.52
  5. Step 5: Solve for x
    x = 87,508,913.52/13,190.80
  6. Step 6: Final answer
    x = 6,634.09

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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.