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Finding the Fourth Proportional to 1,322.11, 1,824.61 and 824.57

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Solution

The fourth proportional to 1,322.11, 1,824.61 and 824.57 is: 1,137.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.11 : 1,824.61 = 824.57 : x
  2. Step 2: Convert to fraction form
    1,322.11/1,824.61 = 824.57/x
  3. Step 3: Cross multiply
    1,322.11x = 1,824.61 × 824.57
  4. Step 4: Simplify right side
    1,322.11x = 1,504,511.57
  5. Step 5: Solve for x
    x = 1,504,511.57/1,322.11
  6. Step 6: Final answer
    x = 1,137.96

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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.