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Finding the Fourth Proportional to 14,586, 20,128.80 and 7,962

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Solution

The fourth proportional to 14,586, 20,128.80 and 7,962 is: 10,987.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,586 : 20,128.80 = 7,962 : x
  2. Step 2: Convert to fraction form
    14,586/20,128.80 = 7,962/x
  3. Step 3: Cross multiply
    14,586x = 20,128.80 × 7,962
  4. Step 4: Simplify right side
    14,586x = 160,265,505.60
  5. Step 5: Solve for x
    x = 160,265,505.60/14,586
  6. Step 6: Final answer
    x = 10,987.63

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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.