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Finding the Fourth Proportional to 9,361.12, 12,914.64 and 5,818

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Solution

The fourth proportional to 9,361.12, 12,914.64 and 5,818 is: 8,026.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,361.12 : 12,914.64 = 5,818 : x
  2. Step 2: Convert to fraction form
    9,361.12/12,914.64 = 5,818/x
  3. Step 3: Cross multiply
    9,361.12x = 12,914.64 × 5,818
  4. Step 4: Simplify right side
    9,361.12x = 75,137,375.52
  5. Step 5: Solve for x
    x = 75,137,375.52/9,361.12
  6. Step 6: Final answer
    x = 8,026.54

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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.