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Finding the Fourth Proportional to 3,182.57, 4,773.50 and 991.11

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Solution

The fourth proportional to 3,182.57, 4,773.50 and 991.11 is: 1,486.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.57 : 4,773.50 = 991.11 : x
  2. Step 2: Convert to fraction form
    3,182.57/4,773.50 = 991.11/x
  3. Step 3: Cross multiply
    3,182.57x = 4,773.50 × 991.11
  4. Step 4: Simplify right side
    3,182.57x = 4,731,073.04
  5. Step 5: Solve for x
    x = 4,731,073.04/3,182.57
  6. Step 6: Final answer
    x = 1,486.56

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Double scale
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Similar ratio
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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.