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Finding the Fourth Proportional to 2,855.99, 3,942.45 and 2,069.88

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Solution

The fourth proportional to 2,855.99, 3,942.45 and 2,069.88 is: 2,857.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.99 : 3,942.45 = 2,069.88 : x
  2. Step 2: Convert to fraction form
    2,855.99/3,942.45 = 2,069.88/x
  3. Step 3: Cross multiply
    2,855.99x = 3,942.45 × 2,069.88
  4. Step 4: Simplify right side
    2,855.99x = 8,160,398.41
  5. Step 5: Solve for x
    x = 8,160,398.41/2,855.99
  6. Step 6: Final answer
    x = 2,857.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.