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Finding the Fourth Proportional to 1,230.57, 1,836.21 and 1,082.96

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Solution

The fourth proportional to 1,230.57, 1,836.21 and 1,082.96 is: 1,615.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.57 : 1,836.21 = 1,082.96 : x
  2. Step 2: Convert to fraction form
    1,230.57/1,836.21 = 1,082.96/x
  3. Step 3: Cross multiply
    1,230.57x = 1,836.21 × 1,082.96
  4. Step 4: Simplify right side
    1,230.57x = 1,988,532.80
  5. Step 5: Solve for x
    x = 1,988,532.80/1,230.57
  6. Step 6: Final answer
    x = 1,615.94

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.