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Finding the Fourth Proportional to 7,951.32, 11,920.80 and 3,946.29

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Solution

The fourth proportional to 7,951.32, 11,920.80 and 3,946.29 is: 5,916.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.32 : 11,920.80 = 3,946.29 : x
  2. Step 2: Convert to fraction form
    7,951.32/11,920.80 = 3,946.29/x
  3. Step 3: Cross multiply
    7,951.32x = 11,920.80 × 3,946.29
  4. Step 4: Simplify right side
    7,951.32x = 47,042,933.83
  5. Step 5: Solve for x
    x = 47,042,933.83/7,951.32
  6. Step 6: Final answer
    x = 5,916.37

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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.