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Finding the Fourth Proportional to 3,491.11, 5,236.52 and 992.31

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Solution

The fourth proportional to 3,491.11, 5,236.52 and 992.31 is: 1,488.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.11 : 5,236.52 = 992.31 : x
  2. Step 2: Convert to fraction form
    3,491.11/5,236.52 = 992.31/x
  3. Step 3: Cross multiply
    3,491.11x = 5,236.52 × 992.31
  4. Step 4: Simplify right side
    3,491.11x = 5,196,265.48
  5. Step 5: Solve for x
    x = 5,196,265.48/3,491.11
  6. Step 6: Final answer
    x = 1,488.43

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1.5x scale

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.