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Finding the Fourth Proportional to 10,857, 14,982.66 and 5,889

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Solution

The fourth proportional to 10,857, 14,982.66 and 5,889 is: 8,126.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857 : 14,982.66 = 5,889 : x
  2. Step 2: Convert to fraction form
    10,857/14,982.66 = 5,889/x
  3. Step 3: Cross multiply
    10,857x = 14,982.66 × 5,889
  4. Step 4: Simplify right side
    10,857x = 88,232,884.74
  5. Step 5: Solve for x
    x = 88,232,884.74/10,857
  6. Step 6: Final answer
    x = 8,126.82

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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.