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Finding the Fourth Proportional to 2,137.93, 3,207.10 and 677.10

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Solution

The fourth proportional to 2,137.93, 3,207.10 and 677.10 is: 1,015.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.93 : 3,207.10 = 677.10 : x
  2. Step 2: Convert to fraction form
    2,137.93/3,207.10 = 677.10/x
  3. Step 3: Cross multiply
    2,137.93x = 3,207.10 × 677.10
  4. Step 4: Simplify right side
    2,137.93x = 2,171,527.41
  5. Step 5: Solve for x
    x = 2,171,527.41/2,137.93
  6. Step 6: Final answer
    x = 1,015.71

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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.