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Finding the Fourth Proportional to 1,941.38, 2,912.07 and 1,652.21

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Solution

The fourth proportional to 1,941.38, 2,912.07 and 1,652.21 is: 2,478.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.38 : 2,912.07 = 1,652.21 : x
  2. Step 2: Convert to fraction form
    1,941.38/2,912.07 = 1,652.21/x
  3. Step 3: Cross multiply
    1,941.38x = 2,912.07 × 1,652.21
  4. Step 4: Simplify right side
    1,941.38x = 4,811,351.17
  5. Step 5: Solve for x
    x = 4,811,351.17/1,941.38
  6. Step 6: Final answer
    x = 2,478.32

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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.