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Finding the Fourth Proportional to 7,881.91, 11,826.45 and 2,951.93

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Solution

The fourth proportional to 7,881.91, 11,826.45 and 2,951.93 is: 4,429.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.91 : 11,826.45 = 2,951.93 : x
  2. Step 2: Convert to fraction form
    7,881.91/11,826.45 = 2,951.93/x
  3. Step 3: Cross multiply
    7,881.91x = 11,826.45 × 2,951.93
  4. Step 4: Simplify right side
    7,881.91x = 34,910,882.11
  5. Step 5: Solve for x
    x = 34,910,882.11/7,881.91
  6. Step 6: Final answer
    x = 4,429.24

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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.