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Finding the Fourth Proportional to 2,834.28, 4,251.36 and 782.28

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Solution

The fourth proportional to 2,834.28, 4,251.36 and 782.28 is: 1,173.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.28 : 4,251.36 = 782.28 : x
  2. Step 2: Convert to fraction form
    2,834.28/4,251.36 = 782.28/x
  3. Step 3: Cross multiply
    2,834.28x = 4,251.36 × 782.28
  4. Step 4: Simplify right side
    2,834.28x = 3,325,753.90
  5. Step 5: Solve for x
    x = 3,325,753.90/2,834.28
  6. Step 6: Final answer
    x = 1,173.40

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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.