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Finding the Fourth Proportional to 7,891.63, 11,821.03 and 3,734.96

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Solution

The fourth proportional to 7,891.63, 11,821.03 and 3,734.96 is: 5,594.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.63 : 11,821.03 = 3,734.96 : x
  2. Step 2: Convert to fraction form
    7,891.63/11,821.03 = 3,734.96/x
  3. Step 3: Cross multiply
    7,891.63x = 11,821.03 × 3,734.96
  4. Step 4: Simplify right side
    7,891.63x = 44,151,005.77
  5. Step 5: Solve for x
    x = 44,151,005.77/7,891.63
  6. Step 6: Final answer
    x = 5,594.66

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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.