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Finding the Fourth Proportional to 12,564.86, 18,847.43 and 3,204.86

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Solution

The fourth proportional to 12,564.86, 18,847.43 and 3,204.86 is: 4,807.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.86 : 18,847.43 = 3,204.86 : x
  2. Step 2: Convert to fraction form
    12,564.86/18,847.43 = 3,204.86/x
  3. Step 3: Cross multiply
    12,564.86x = 18,847.43 × 3,204.86
  4. Step 4: Simplify right side
    12,564.86x = 60,403,364.97
  5. Step 5: Solve for x
    x = 60,403,364.97/12,564.86
  6. Step 6: Final answer
    x = 4,807.33

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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.