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Finding the Fourth Proportional to 12,255.86, 16,910.12 and 7,778

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Solution

The fourth proportional to 12,255.86, 16,910.12 and 7,778 is: 10,731.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,255.86 : 16,910.12 = 7,778 : x
  2. Step 2: Convert to fraction form
    12,255.86/16,910.12 = 7,778/x
  3. Step 3: Cross multiply
    12,255.86x = 16,910.12 × 7,778
  4. Step 4: Simplify right side
    12,255.86x = 131,526,913.36
  5. Step 5: Solve for x
    x = 131,526,913.36/12,255.86
  6. Step 6: Final answer
    x = 10,731.76

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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.