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Finding the Fourth Proportional to 3,120.40, 4,307 and 1,794.24

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Solution

The fourth proportional to 3,120.40, 4,307 and 1,794.24 is: 2,476.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.40 : 4,307 = 1,794.24 : x
  2. Step 2: Convert to fraction form
    3,120.40/4,307 = 1,794.24/x
  3. Step 3: Cross multiply
    3,120.40x = 4,307 × 1,794.24
  4. Step 4: Simplify right side
    3,120.40x = 7,727,791.68
  5. Step 5: Solve for x
    x = 7,727,791.68/3,120.40
  6. Step 6: Final answer
    x = 2,476.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.