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Finding the Fourth Proportional to 1,941.40, 2,912.13 and 642.88

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Solution

The fourth proportional to 1,941.40, 2,912.13 and 642.88 is: 964.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.40 : 2,912.13 = 642.88 : x
  2. Step 2: Convert to fraction form
    1,941.40/2,912.13 = 642.88/x
  3. Step 3: Cross multiply
    1,941.40x = 2,912.13 × 642.88
  4. Step 4: Simplify right side
    1,941.40x = 1,872,150.13
  5. Step 5: Solve for x
    x = 1,872,150.13/1,941.40
  6. Step 6: Final answer
    x = 964.33

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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.