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Finding the Fourth Proportional to 1,371.62, 1,892.45 and 811.85

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Solution

The fourth proportional to 1,371.62, 1,892.45 and 811.85 is: 1,120.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.62 : 1,892.45 = 811.85 : x
  2. Step 2: Convert to fraction form
    1,371.62/1,892.45 = 811.85/x
  3. Step 3: Cross multiply
    1,371.62x = 1,892.45 × 811.85
  4. Step 4: Simplify right side
    1,371.62x = 1,536,378.10
  5. Step 5: Solve for x
    x = 1,536,378.10/1,371.62
  6. Step 6: Final answer
    x = 1,120.12

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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.