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Finding the Fourth Proportional to 1,941.99, 2,912.99 and 771.95

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Solution

The fourth proportional to 1,941.99, 2,912.99 and 771.95 is: 1,157.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.99 : 2,912.99 = 771.95 : x
  2. Step 2: Convert to fraction form
    1,941.99/2,912.99 = 771.95/x
  3. Step 3: Cross multiply
    1,941.99x = 2,912.99 × 771.95
  4. Step 4: Simplify right side
    1,941.99x = 2,248,664.21
  5. Step 5: Solve for x
    x = 2,248,664.21/1,941.99
  6. Step 6: Final answer
    x = 1,157.92

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Double scale
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Similar ratio
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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.