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Finding the Fourth Proportional to 8,489.76, 11,716 and 5,132.56

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Solution

The fourth proportional to 8,489.76, 11,716 and 5,132.56 is: 7,083.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.76 : 11,716 = 5,132.56 : x
  2. Step 2: Convert to fraction form
    8,489.76/11,716 = 5,132.56/x
  3. Step 3: Cross multiply
    8,489.76x = 11,716 × 5,132.56
  4. Step 4: Simplify right side
    8,489.76x = 60,133,072.96
  5. Step 5: Solve for x
    x = 60,133,072.96/8,489.76
  6. Step 6: Final answer
    x = 7,083.01

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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.