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Finding the Fourth Proportional to 3,760.22, 5,640.72 and 1,294.74

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Solution

The fourth proportional to 3,760.22, 5,640.72 and 1,294.74 is: 1,942.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.22 : 5,640.72 = 1,294.74 : x
  2. Step 2: Convert to fraction form
    3,760.22/5,640.72 = 1,294.74/x
  3. Step 3: Cross multiply
    3,760.22x = 5,640.72 × 1,294.74
  4. Step 4: Simplify right side
    3,760.22x = 7,303,265.81
  5. Step 5: Solve for x
    x = 7,303,265.81/3,760.22
  6. Step 6: Final answer
    x = 1,942.24

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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.