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Finding the Fourth Proportional to 2,853.44, 4,280.84 and 905.64

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Solution

The fourth proportional to 2,853.44, 4,280.84 and 905.64 is: 1,358.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.44 : 4,280.84 = 905.64 : x
  2. Step 2: Convert to fraction form
    2,853.44/4,280.84 = 905.64/x
  3. Step 3: Cross multiply
    2,853.44x = 4,280.84 × 905.64
  4. Step 4: Simplify right side
    2,853.44x = 3,876,895.41
  5. Step 5: Solve for x
    x = 3,876,895.41/2,853.44
  6. Step 6: Final answer
    x = 1,358.68

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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.