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Finding the Fourth Proportional to 2,912.57, 4,367.51 and 937.83

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Solution

The fourth proportional to 2,912.57, 4,367.51 and 937.83 is: 1,406.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.57 : 4,367.51 = 937.83 : x
  2. Step 2: Convert to fraction form
    2,912.57/4,367.51 = 937.83/x
  3. Step 3: Cross multiply
    2,912.57x = 4,367.51 × 937.83
  4. Step 4: Simplify right side
    2,912.57x = 4,095,977.21
  5. Step 5: Solve for x
    x = 4,095,977.21/2,912.57
  6. Step 6: Final answer
    x = 1,406.31

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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.