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Finding the Fourth Proportional to 7,967.78, 11,956.48 and 2,777.30

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Solution

The fourth proportional to 7,967.78, 11,956.48 and 2,777.30 is: 4,167.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.78 : 11,956.48 = 2,777.30 : x
  2. Step 2: Convert to fraction form
    7,967.78/11,956.48 = 2,777.30/x
  3. Step 3: Cross multiply
    7,967.78x = 11,956.48 × 2,777.30
  4. Step 4: Simplify right side
    7,967.78x = 33,206,731.90
  5. Step 5: Solve for x
    x = 33,206,731.90/7,967.78
  6. Step 6: Final answer
    x = 4,167.63

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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.