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Finding the Fourth Proportional to 9,884, 13,639.74 and 5,906

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Solution

The fourth proportional to 9,884, 13,639.74 and 5,906 is: 8,150.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884 : 13,639.74 = 5,906 : x
  2. Step 2: Convert to fraction form
    9,884/13,639.74 = 5,906/x
  3. Step 3: Cross multiply
    9,884x = 13,639.74 × 5,906
  4. Step 4: Simplify right side
    9,884x = 80,556,304.44
  5. Step 5: Solve for x
    x = 80,556,304.44/9,884
  6. Step 6: Final answer
    x = 8,150.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.