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Finding the Fourth Proportional to 18,212.54, 27,296.91 and 7,678.49

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Solution

The fourth proportional to 18,212.54, 27,296.91 and 7,678.49 is: 11,508.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,212.54 : 27,296.91 = 7,678.49 : x
  2. Step 2: Convert to fraction form
    18,212.54/27,296.91 = 7,678.49/x
  3. Step 3: Cross multiply
    18,212.54x = 27,296.91 × 7,678.49
  4. Step 4: Simplify right side
    18,212.54x = 209,598,913.98
  5. Step 5: Solve for x
    x = 209,598,913.98/18,212.54
  6. Step 6: Final answer
    x = 11,508.50

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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.