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Finding the Fourth Proportional to 2,170.30, 3,256.40 and 937.42

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Solution

The fourth proportional to 2,170.30, 3,256.40 and 937.42 is: 1,406.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.30 : 3,256.40 = 937.42 : x
  2. Step 2: Convert to fraction form
    2,170.30/3,256.40 = 937.42/x
  3. Step 3: Cross multiply
    2,170.30x = 3,256.40 × 937.42
  4. Step 4: Simplify right side
    2,170.30x = 3,052,614.49
  5. Step 5: Solve for x
    x = 3,052,614.49/2,170.30
  6. Step 6: Final answer
    x = 1,406.54

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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.