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Finding the Fourth Proportional to 3,171.78, 4,379.20 and 1,977.24

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Solution

The fourth proportional to 3,171.78, 4,379.20 and 1,977.24 is: 2,729.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.78 : 4,379.20 = 1,977.24 : x
  2. Step 2: Convert to fraction form
    3,171.78/4,379.20 = 1,977.24/x
  3. Step 3: Cross multiply
    3,171.78x = 4,379.20 × 1,977.24
  4. Step 4: Simplify right side
    3,171.78x = 8,658,729.41
  5. Step 5: Solve for x
    x = 8,658,729.41/3,171.78
  6. Step 6: Final answer
    x = 2,729.93

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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.