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Finding the Fourth Proportional to 5,805.72, 8,007.84 and 3,815.64

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Solution

The fourth proportional to 5,805.72, 8,007.84 and 3,815.64 is: 5,262.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.72 : 8,007.84 = 3,815.64 : x
  2. Step 2: Convert to fraction form
    5,805.72/8,007.84 = 3,815.64/x
  3. Step 3: Cross multiply
    5,805.72x = 8,007.84 × 3,815.64
  4. Step 4: Simplify right side
    5,805.72x = 30,555,034.62
  5. Step 5: Solve for x
    x = 30,555,034.62/5,805.72
  6. Step 6: Final answer
    x = 5,262.92

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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.