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Finding the Fourth Proportional to 3,172.34, 4,379.98 and 1,977.80

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Solution

The fourth proportional to 3,172.34, 4,379.98 and 1,977.80 is: 2,730.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.34 : 4,379.98 = 1,977.80 : x
  2. Step 2: Convert to fraction form
    3,172.34/4,379.98 = 1,977.80/x
  3. Step 3: Cross multiply
    3,172.34x = 4,379.98 × 1,977.80
  4. Step 4: Simplify right side
    3,172.34x = 8,662,724.44
  5. Step 5: Solve for x
    x = 8,662,724.44/3,172.34
  6. Step 6: Final answer
    x = 2,730.71

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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.