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Finding the Fourth Proportional to 5,668.41, 7,820.21 and 4,179.86

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Solution

The fourth proportional to 5,668.41, 7,820.21 and 4,179.86 is: 5,766.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.41 : 7,820.21 = 4,179.86 : x
  2. Step 2: Convert to fraction form
    5,668.41/7,820.21 = 4,179.86/x
  3. Step 3: Cross multiply
    5,668.41x = 7,820.21 × 4,179.86
  4. Step 4: Simplify right side
    5,668.41x = 32,687,382.97
  5. Step 5: Solve for x
    x = 32,687,382.97/5,668.41
  6. Step 6: Final answer
    x = 5,766.59

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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.