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Finding the Fourth Proportional to 2,719.38, 4,079.07 and 771.60

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Solution

The fourth proportional to 2,719.38, 4,079.07 and 771.60 is: 1,157.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.38 : 4,079.07 = 771.60 : x
  2. Step 2: Convert to fraction form
    2,719.38/4,079.07 = 771.60/x
  3. Step 3: Cross multiply
    2,719.38x = 4,079.07 × 771.60
  4. Step 4: Simplify right side
    2,719.38x = 3,147,410.41
  5. Step 5: Solve for x
    x = 3,147,410.41/2,719.38
  6. Step 6: Final answer
    x = 1,157.40

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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.