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Finding the Fourth Proportional to 1,322.35, 1,823.37 and 1,082.34

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Solution

The fourth proportional to 1,322.35, 1,823.37 and 1,082.34 is: 1,492.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.35 : 1,823.37 = 1,082.34 : x
  2. Step 2: Convert to fraction form
    1,322.35/1,823.37 = 1,082.34/x
  3. Step 3: Cross multiply
    1,322.35x = 1,823.37 × 1,082.34
  4. Step 4: Simplify right side
    1,322.35x = 1,973,506.29
  5. Step 5: Solve for x
    x = 1,973,506.29/1,322.35
  6. Step 6: Final answer
    x = 1,492.42

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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.