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Finding the Fourth Proportional to 2,855.01, 4,282.92 and 906.57

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Solution

The fourth proportional to 2,855.01, 4,282.92 and 906.57 is: 1,359.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.01 : 4,282.92 = 906.57 : x
  2. Step 2: Convert to fraction form
    2,855.01/4,282.92 = 906.57/x
  3. Step 3: Cross multiply
    2,855.01x = 4,282.92 × 906.57
  4. Step 4: Simplify right side
    2,855.01x = 3,882,766.78
  5. Step 5: Solve for x
    x = 3,882,766.78/2,855.01
  6. Step 6: Final answer
    x = 1,359.98

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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.