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Finding the Fourth Proportional to 2,786.55, 4,180.11 and 912.52

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Solution

The fourth proportional to 2,786.55, 4,180.11 and 912.52 is: 1,368.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.55 : 4,180.11 = 912.52 : x
  2. Step 2: Convert to fraction form
    2,786.55/4,180.11 = 912.52/x
  3. Step 3: Cross multiply
    2,786.55x = 4,180.11 × 912.52
  4. Step 4: Simplify right side
    2,786.55x = 3,814,433.98
  5. Step 5: Solve for x
    x = 3,814,433.98/2,786.55
  6. Step 6: Final answer
    x = 1,368.87

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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.