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Finding the Fourth Proportional to 2,855.53, 4,284.78 and 1,296.64

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Solution

The fourth proportional to 2,855.53, 4,284.78 and 1,296.64 is: 1,945.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.53 : 4,284.78 = 1,296.64 : x
  2. Step 2: Convert to fraction form
    2,855.53/4,284.78 = 1,296.64/x
  3. Step 3: Cross multiply
    2,855.53x = 4,284.78 × 1,296.64
  4. Step 4: Simplify right side
    2,855.53x = 5,555,817.14
  5. Step 5: Solve for x
    x = 5,555,817.14/2,855.53
  6. Step 6: Final answer
    x = 1,945.63

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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.