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Finding the Fourth Proportional to 6,821.34, 9,372.64 and 5,421.66

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Solution

The fourth proportional to 6,821.34, 9,372.64 and 5,421.66 is: 7,449.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.34 : 9,372.64 = 5,421.66 : x
  2. Step 2: Convert to fraction form
    6,821.34/9,372.64 = 5,421.66/x
  3. Step 3: Cross multiply
    6,821.34x = 9,372.64 × 5,421.66
  4. Step 4: Simplify right side
    6,821.34x = 50,815,267.38
  5. Step 5: Solve for x
    x = 50,815,267.38/6,821.34
  6. Step 6: Final answer
    x = 7,449.46

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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.