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Finding the Fourth Proportional to 1,941.98, 2,912.94 and 643.43

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Solution

The fourth proportional to 1,941.98, 2,912.94 and 643.43 is: 965.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.98 : 2,912.94 = 643.43 : x
  2. Step 2: Convert to fraction form
    1,941.98/2,912.94 = 643.43/x
  3. Step 3: Cross multiply
    1,941.98x = 2,912.94 × 643.43
  4. Step 4: Simplify right side
    1,941.98x = 1,874,280.27
  5. Step 5: Solve for x
    x = 1,874,280.27/1,941.98
  6. Step 6: Final answer
    x = 965.14

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1.5x scale

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.