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Finding the Fourth Proportional to 8,361.76, 12,543.27 and 2,815.12

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Solution

The fourth proportional to 8,361.76, 12,543.27 and 2,815.12 is: 4,222.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.76 : 12,543.27 = 2,815.12 : x
  2. Step 2: Convert to fraction form
    8,361.76/12,543.27 = 2,815.12/x
  3. Step 3: Cross multiply
    8,361.76x = 12,543.27 × 2,815.12
  4. Step 4: Simplify right side
    8,361.76x = 35,310,810.24
  5. Step 5: Solve for x
    x = 35,310,810.24/8,361.76
  6. Step 6: Final answer
    x = 4,222.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.