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Finding the Fourth Proportional to 5,668.56, 7,821.48 and 3,310.20

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Solution

The fourth proportional to 5,668.56, 7,821.48 and 3,310.20 is: 4,567.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.56 : 7,821.48 = 3,310.20 : x
  2. Step 2: Convert to fraction form
    5,668.56/7,821.48 = 3,310.20/x
  3. Step 3: Cross multiply
    5,668.56x = 7,821.48 × 3,310.20
  4. Step 4: Simplify right side
    5,668.56x = 25,890,663.10
  5. Step 5: Solve for x
    x = 25,890,663.10/5,668.56
  6. Step 6: Final answer
    x = 4,567.41

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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.