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Finding the Fourth Proportional to 6,821.58, 9,372.99 and 5,421.90

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Solution

The fourth proportional to 6,821.58, 9,372.99 and 5,421.90 is: 7,449.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.58 : 9,372.99 = 5,421.90 : x
  2. Step 2: Convert to fraction form
    6,821.58/9,372.99 = 5,421.90/x
  3. Step 3: Cross multiply
    6,821.58x = 9,372.99 × 5,421.90
  4. Step 4: Simplify right side
    6,821.58x = 50,819,414.48
  5. Step 5: Solve for x
    x = 50,819,414.48/6,821.58
  6. Step 6: Final answer
    x = 7,449.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.