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Finding the Fourth Proportional to 2,844.36, 4,266.72 and 896.64

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Solution

The fourth proportional to 2,844.36, 4,266.72 and 896.64 is: 1,345.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.36 : 4,266.72 = 896.64 : x
  2. Step 2: Convert to fraction form
    2,844.36/4,266.72 = 896.64/x
  3. Step 3: Cross multiply
    2,844.36x = 4,266.72 × 896.64
  4. Step 4: Simplify right side
    2,844.36x = 3,825,711.82
  5. Step 5: Solve for x
    x = 3,825,711.82/2,844.36
  6. Step 6: Final answer
    x = 1,345.02

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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.