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Finding the Fourth Proportional to 2,861.64, 4,289.71 and 912.57

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Solution

The fourth proportional to 2,861.64, 4,289.71 and 912.57 is: 1,367.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.64 : 4,289.71 = 912.57 : x
  2. Step 2: Convert to fraction form
    2,861.64/4,289.71 = 912.57/x
  3. Step 3: Cross multiply
    2,861.64x = 4,289.71 × 912.57
  4. Step 4: Simplify right side
    2,861.64x = 3,914,660.65
  5. Step 5: Solve for x
    x = 3,914,660.65/2,861.64
  6. Step 6: Final answer
    x = 1,367.98

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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.