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Finding the Fourth Proportional to 8,124, 12,186.43 and 2,577.78

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Solution

The fourth proportional to 8,124, 12,186.43 and 2,577.78 is: 3,866.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124 : 12,186.43 = 2,577.78 : x
  2. Step 2: Convert to fraction form
    8,124/12,186.43 = 2,577.78/x
  3. Step 3: Cross multiply
    8,124x = 12,186.43 × 2,577.78
  4. Step 4: Simplify right side
    8,124x = 31,413,893.05
  5. Step 5: Solve for x
    x = 31,413,893.05/8,124
  6. Step 6: Final answer
    x = 3,866.80

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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.