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Finding the Fourth Proportional to 8,124, 12,185.97 and 6,647.77

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Solution

The fourth proportional to 8,124, 12,185.97 and 6,647.77 is: 9,971.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124 : 12,185.97 = 6,647.77 : x
  2. Step 2: Convert to fraction form
    8,124/12,185.97 = 6,647.77/x
  3. Step 3: Cross multiply
    8,124x = 12,185.97 × 6,647.77
  4. Step 4: Simplify right side
    8,124x = 81,009,525.79
  5. Step 5: Solve for x
    x = 81,009,525.79/8,124
  6. Step 6: Final answer
    x = 9,971.63

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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.