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Finding the Fourth Proportional to 2,855.64, 4,285.08 and 1,882.20

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Solution

The fourth proportional to 2,855.64, 4,285.08 and 1,882.20 is: 2,824.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.64 : 4,285.08 = 1,882.20 : x
  2. Step 2: Convert to fraction form
    2,855.64/4,285.08 = 1,882.20/x
  3. Step 3: Cross multiply
    2,855.64x = 4,285.08 × 1,882.20
  4. Step 4: Simplify right side
    2,855.64x = 8,065,377.58
  5. Step 5: Solve for x
    x = 8,065,377.58/2,855.64
  6. Step 6: Final answer
    x = 2,824.37

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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.