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Finding the Fourth Proportional to 7,956.63, 11,926.64 and 2,689.82

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Solution

The fourth proportional to 7,956.63, 11,926.64 and 2,689.82 is: 4,031.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,956.63 : 11,926.64 = 2,689.82 : x
  2. Step 2: Convert to fraction form
    7,956.63/11,926.64 = 2,689.82/x
  3. Step 3: Cross multiply
    7,956.63x = 11,926.64 × 2,689.82
  4. Step 4: Simplify right side
    7,956.63x = 32,080,441.72
  5. Step 5: Solve for x
    x = 32,080,441.72/7,956.63
  6. Step 6: Final answer
    x = 4,031.91

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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.