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Finding the Fourth Proportional to 13,179, 19,768.52 and 5,387.80

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Solution

The fourth proportional to 13,179, 19,768.52 and 5,387.80 is: 8,081.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,179 : 19,768.52 = 5,387.80 : x
  2. Step 2: Convert to fraction form
    13,179/19,768.52 = 5,387.80/x
  3. Step 3: Cross multiply
    13,179x = 19,768.52 × 5,387.80
  4. Step 4: Simplify right side
    13,179x = 106,508,832.06
  5. Step 5: Solve for x
    x = 106,508,832.06/13,179
  6. Step 6: Final answer
    x = 8,081.71

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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.