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Finding the Fourth Proportional to 9,114.75, 13,672.65 and 2,874.96

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Solution

The fourth proportional to 9,114.75, 13,672.65 and 2,874.96 is: 4,312.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.75 : 13,672.65 = 2,874.96 : x
  2. Step 2: Convert to fraction form
    9,114.75/13,672.65 = 2,874.96/x
  3. Step 3: Cross multiply
    9,114.75x = 13,672.65 × 2,874.96
  4. Step 4: Simplify right side
    9,114.75x = 39,308,321.84
  5. Step 5: Solve for x
    x = 39,308,321.84/9,114.75
  6. Step 6: Final answer
    x = 4,312.61

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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.