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Finding the Fourth Proportional to 3,960.50, 5,942.80 and 1,740.90

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Solution

The fourth proportional to 3,960.50, 5,942.80 and 1,740.90 is: 2,612.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.50 : 5,942.80 = 1,740.90 : x
  2. Step 2: Convert to fraction form
    3,960.50/5,942.80 = 1,740.90/x
  3. Step 3: Cross multiply
    3,960.50x = 5,942.80 × 1,740.90
  4. Step 4: Simplify right side
    3,960.50x = 10,345,820.52
  5. Step 5: Solve for x
    x = 10,345,820.52/3,960.50
  6. Step 6: Final answer
    x = 2,612.25

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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.