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Finding the Fourth Proportional to 2,855.77, 4,257.64 and 2,783.95

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Solution

The fourth proportional to 2,855.77, 4,257.64 and 2,783.95 is: 4,150.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.77 : 4,257.64 = 2,783.95 : x
  2. Step 2: Convert to fraction form
    2,855.77/4,257.64 = 2,783.95/x
  3. Step 3: Cross multiply
    2,855.77x = 4,257.64 × 2,783.95
  4. Step 4: Simplify right side
    2,855.77x = 11,853,056.88
  5. Step 5: Solve for x
    x = 11,853,056.88/2,855.77
  6. Step 6: Final answer
    x = 4,150.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.