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Finding the Fourth Proportional to 2,477.28, 3,716.10 and 834.24

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Solution

The fourth proportional to 2,477.28, 3,716.10 and 834.24 is: 1,251.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.28 : 3,716.10 = 834.24 : x
  2. Step 2: Convert to fraction form
    2,477.28/3,716.10 = 834.24/x
  3. Step 3: Cross multiply
    2,477.28x = 3,716.10 × 834.24
  4. Step 4: Simplify right side
    2,477.28x = 3,100,119.26
  5. Step 5: Solve for x
    x = 3,100,119.26/2,477.28
  6. Step 6: Final answer
    x = 1,251.42

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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.