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Finding the Fourth Proportional to 1,941.75, 2,912.55 and 643.21

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Solution

The fourth proportional to 1,941.75, 2,912.55 and 643.21 is: 964.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.75 : 2,912.55 = 643.21 : x
  2. Step 2: Convert to fraction form
    1,941.75/2,912.55 = 643.21/x
  3. Step 3: Cross multiply
    1,941.75x = 2,912.55 × 643.21
  4. Step 4: Simplify right side
    1,941.75x = 1,873,368.33
  5. Step 5: Solve for x
    x = 1,873,368.33/1,941.75
  6. Step 6: Final answer
    x = 964.78

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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.