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Finding the Fourth Proportional to 10,761.76, 14,851.38 and 5,982.00

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Solution

The fourth proportional to 10,761.76, 14,851.38 and 5,982.00 is: 8,255.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.76 : 14,851.38 = 5,982.00 : x
  2. Step 2: Convert to fraction form
    10,761.76/14,851.38 = 5,982.00/x
  3. Step 3: Cross multiply
    10,761.76x = 14,851.38 × 5,982.00
  4. Step 4: Simplify right side
    10,761.76x = 88,840,954.97
  5. Step 5: Solve for x
    x = 88,840,954.97/10,761.76
  6. Step 6: Final answer
    x = 8,255.24

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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.