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Finding the Fourth Proportional to 10,867, 14,996.64 and 5,899

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Solution

The fourth proportional to 10,867, 14,996.64 and 5,899 is: 8,140.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,867 : 14,996.64 = 5,899 : x
  2. Step 2: Convert to fraction form
    10,867/14,996.64 = 5,899/x
  3. Step 3: Cross multiply
    10,867x = 14,996.64 × 5,899
  4. Step 4: Simplify right side
    10,867x = 88,465,179.36
  5. Step 5: Solve for x
    x = 88,465,179.36/10,867
  6. Step 6: Final answer
    x = 8,140.72

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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.