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Finding the Fourth Proportional to 7,891.34, 11,838.20 and 2,344.05

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Solution

The fourth proportional to 7,891.34, 11,838.20 and 2,344.05 is: 3,516.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.34 : 11,838.20 = 2,344.05 : x
  2. Step 2: Convert to fraction form
    7,891.34/11,838.20 = 2,344.05/x
  3. Step 3: Cross multiply
    7,891.34x = 11,838.20 × 2,344.05
  4. Step 4: Simplify right side
    7,891.34x = 27,749,320.99
  5. Step 5: Solve for x
    x = 27,749,320.99/7,891.34
  6. Step 6: Final answer
    x = 3,516.43

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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.