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Finding the Fourth Proportional to 5,668.12, 7,821.41 and 3,149.82

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Solution

The fourth proportional to 5,668.12, 7,821.41 and 3,149.82 is: 4,346.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.12 : 7,821.41 = 3,149.82 : x
  2. Step 2: Convert to fraction form
    5,668.12/7,821.41 = 3,149.82/x
  3. Step 3: Cross multiply
    5,668.12x = 7,821.41 × 3,149.82
  4. Step 4: Simplify right side
    5,668.12x = 24,636,080.76
  5. Step 5: Solve for x
    x = 24,636,080.76/5,668.12
  6. Step 6: Final answer
    x = 4,346.43

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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.