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Finding the Fourth Proportional to 3,171.53, 4,378.86 and 1,976.99

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Solution

The fourth proportional to 3,171.53, 4,378.86 and 1,976.99 is: 2,729.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.53 : 4,378.86 = 1,976.99 : x
  2. Step 2: Convert to fraction form
    3,171.53/4,378.86 = 1,976.99/x
  3. Step 3: Cross multiply
    3,171.53x = 4,378.86 × 1,976.99
  4. Step 4: Simplify right side
    3,171.53x = 8,656,962.43
  5. Step 5: Solve for x
    x = 8,656,962.43/3,171.53
  6. Step 6: Final answer
    x = 2,729.59

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1.5x scale

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.