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Finding the Fourth Proportional to 6,815.22, 9,404.34 and 4,165.31

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Solution

The fourth proportional to 6,815.22, 9,404.34 and 4,165.31 is: 5,747.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.22 : 9,404.34 = 4,165.31 : x
  2. Step 2: Convert to fraction form
    6,815.22/9,404.34 = 4,165.31/x
  3. Step 3: Cross multiply
    6,815.22x = 9,404.34 × 4,165.31
  4. Step 4: Simplify right side
    6,815.22x = 39,171,944.42
  5. Step 5: Solve for x
    x = 39,171,944.42/6,815.22
  6. Step 6: Final answer
    x = 5,747.72

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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.