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Finding the Fourth Proportional to 2,719.87, 4,079.37 and 772.21

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Solution

The fourth proportional to 2,719.87, 4,079.37 and 772.21 is: 1,158.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.87 : 4,079.37 = 772.21 : x
  2. Step 2: Convert to fraction form
    2,719.87/4,079.37 = 772.21/x
  3. Step 3: Cross multiply
    2,719.87x = 4,079.37 × 772.21
  4. Step 4: Simplify right side
    2,719.87x = 3,150,130.31
  5. Step 5: Solve for x
    x = 3,150,130.31/2,719.87
  6. Step 6: Final answer
    x = 1,158.19

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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.