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Finding the Fourth Proportional to 18,880.82, 28,313.47 and 8,207.86

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Solution

The fourth proportional to 18,880.82, 28,313.47 and 8,207.86 is: 12,308.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,880.82 : 28,313.47 = 8,207.86 : x
  2. Step 2: Convert to fraction form
    18,880.82/28,313.47 = 8,207.86/x
  3. Step 3: Cross multiply
    18,880.82x = 28,313.47 × 8,207.86
  4. Step 4: Simplify right side
    18,880.82x = 232,392,997.87
  5. Step 5: Solve for x
    x = 232,392,997.87/18,880.82
  6. Step 6: Final answer
    x = 12,308.42

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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.