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Finding the Fourth Proportional to 3,182.52, 4,774.14 and 991.80

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Solution

The fourth proportional to 3,182.52, 4,774.14 and 991.80 is: 1,487.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.52 : 4,774.14 = 991.80 : x
  2. Step 2: Convert to fraction form
    3,182.52/4,774.14 = 991.80/x
  3. Step 3: Cross multiply
    3,182.52x = 4,774.14 × 991.80
  4. Step 4: Simplify right side
    3,182.52x = 4,734,992.05
  5. Step 5: Solve for x
    x = 4,734,992.05/3,182.52
  6. Step 6: Final answer
    x = 1,487.81

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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.