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Finding the Fourth Proportional to 8,614.89, 12,922.38 and 3,420.77

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Solution

The fourth proportional to 8,614.89, 12,922.38 and 3,420.77 is: 5,131.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.89 : 12,922.38 = 3,420.77 : x
  2. Step 2: Convert to fraction form
    8,614.89/12,922.38 = 3,420.77/x
  3. Step 3: Cross multiply
    8,614.89x = 12,922.38 × 3,420.77
  4. Step 4: Simplify right side
    8,614.89x = 44,204,425.22
  5. Step 5: Solve for x
    x = 44,204,425.22/8,614.89
  6. Step 6: Final answer
    x = 5,131.17

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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.