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Finding the Fourth Proportional to 2,912.88, 4,369.48 and 861.04

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Solution

The fourth proportional to 2,912.88, 4,369.48 and 861.04 is: 1,291.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.88 : 4,369.48 = 861.04 : x
  2. Step 2: Convert to fraction form
    2,912.88/4,369.48 = 861.04/x
  3. Step 3: Cross multiply
    2,912.88x = 4,369.48 × 861.04
  4. Step 4: Simplify right side
    2,912.88x = 3,762,297.06
  5. Step 5: Solve for x
    x = 3,762,297.06/2,912.88
  6. Step 6: Final answer
    x = 1,291.61

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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.