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Finding the Fourth Proportional to 8,365.92, 12,548.16 and 3,171.84

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Solution

The fourth proportional to 8,365.92, 12,548.16 and 3,171.84 is: 4,757.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,365.92 : 12,548.16 = 3,171.84 : x
  2. Step 2: Convert to fraction form
    8,365.92/12,548.16 = 3,171.84/x
  3. Step 3: Cross multiply
    8,365.92x = 12,548.16 × 3,171.84
  4. Step 4: Simplify right side
    8,365.92x = 39,800,755.81
  5. Step 5: Solve for x
    x = 39,800,755.81/8,365.92
  6. Step 6: Final answer
    x = 4,757.49

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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.