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Finding the Fourth Proportional to 8,132, 11,222.16 and 4,406

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Solution

The fourth proportional to 8,132, 11,222.16 and 4,406 is: 6,080.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132 : 11,222.16 = 4,406 : x
  2. Step 2: Convert to fraction form
    8,132/11,222.16 = 4,406/x
  3. Step 3: Cross multiply
    8,132x = 11,222.16 × 4,406
  4. Step 4: Simplify right side
    8,132x = 49,444,836.96
  5. Step 5: Solve for x
    x = 49,444,836.96/8,132
  6. Step 6: Final answer
    x = 6,080.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.