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Finding the Fourth Proportional to 2,170.43, 3,255.51 and 936.98

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Solution

The fourth proportional to 2,170.43, 3,255.51 and 936.98 is: 1,405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.43 : 3,255.51 = 936.98 : x
  2. Step 2: Convert to fraction form
    2,170.43/3,255.51 = 936.98/x
  3. Step 3: Cross multiply
    2,170.43x = 3,255.51 × 936.98
  4. Step 4: Simplify right side
    2,170.43x = 3,050,331.48
  5. Step 5: Solve for x
    x = 3,050,331.48/2,170.43
  6. Step 6: Final answer
    x = 1,405.40

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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.