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Finding the Fourth Proportional to 7,877.78, 11,817.87 and 2,682.44

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Solution

The fourth proportional to 7,877.78, 11,817.87 and 2,682.44 is: 4,024.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.78 : 11,817.87 = 2,682.44 : x
  2. Step 2: Convert to fraction form
    7,877.78/11,817.87 = 2,682.44/x
  3. Step 3: Cross multiply
    7,877.78x = 11,817.87 × 2,682.44
  4. Step 4: Simplify right side
    7,877.78x = 31,700,713.79
  5. Step 5: Solve for x
    x = 31,700,713.79/7,877.78
  6. Step 6: Final answer
    x = 4,024.07

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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.