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Finding the Fourth Proportional to 12,658.20, 18,938.70 and 8,284.20

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Solution

The fourth proportional to 12,658.20, 18,938.70 and 8,284.20 is: 12,394.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.20 : 18,938.70 = 8,284.20 : x
  2. Step 2: Convert to fraction form
    12,658.20/18,938.70 = 8,284.20/x
  3. Step 3: Cross multiply
    12,658.20x = 18,938.70 × 8,284.20
  4. Step 4: Simplify right side
    12,658.20x = 156,891,978.54
  5. Step 5: Solve for x
    x = 156,891,978.54/12,658.20
  6. Step 6: Final answer
    x = 12,394.49

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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.