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Finding the Fourth Proportional to 10,625.38, 14,662.12 and 6,149.41

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Solution

The fourth proportional to 10,625.38, 14,662.12 and 6,149.41 is: 8,485.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,625.38 : 14,662.12 = 6,149.41 : x
  2. Step 2: Convert to fraction form
    10,625.38/14,662.12 = 6,149.41/x
  3. Step 3: Cross multiply
    10,625.38x = 14,662.12 × 6,149.41
  4. Step 4: Simplify right side
    10,625.38x = 90,163,369.02
  5. Step 5: Solve for x
    x = 90,163,369.02/10,625.38
  6. Step 6: Final answer
    x = 8,485.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.