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Finding the Fourth Proportional to 1,884.42, 2,823.50 and 896.12

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Solution

The fourth proportional to 1,884.42, 2,823.50 and 896.12 is: 1,342.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.42 : 2,823.50 = 896.12 : x
  2. Step 2: Convert to fraction form
    1,884.42/2,823.50 = 896.12/x
  3. Step 3: Cross multiply
    1,884.42x = 2,823.50 × 896.12
  4. Step 4: Simplify right side
    1,884.42x = 2,530,194.82
  5. Step 5: Solve for x
    x = 2,530,194.82/1,884.42
  6. Step 6: Final answer
    x = 1,342.69

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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.