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Finding the Fourth Proportional to 18,658.54, 27,984.47 and 8,122.67

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Solution

The fourth proportional to 18,658.54, 27,984.47 and 8,122.67 is: 12,182.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,658.54 : 27,984.47 = 8,122.67 : x
  2. Step 2: Convert to fraction form
    18,658.54/27,984.47 = 8,122.67/x
  3. Step 3: Cross multiply
    18,658.54x = 27,984.47 × 8,122.67
  4. Step 4: Simplify right side
    18,658.54x = 227,308,434.40
  5. Step 5: Solve for x
    x = 227,308,434.40/18,658.54
  6. Step 6: Final answer
    x = 12,182.54

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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.