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Finding the Fourth Proportional to 7,954.91, 11,932.35 and 2,689.93

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Solution

The fourth proportional to 7,954.91, 11,932.35 and 2,689.93 is: 4,034.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.91 : 11,932.35 = 2,689.93 : x
  2. Step 2: Convert to fraction form
    7,954.91/11,932.35 = 2,689.93/x
  3. Step 3: Cross multiply
    7,954.91x = 11,932.35 × 2,689.93
  4. Step 4: Simplify right side
    7,954.91x = 32,097,186.24
  5. Step 5: Solve for x
    x = 32,097,186.24/7,954.91
  6. Step 6: Final answer
    x = 4,034.89

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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.