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Finding the Fourth Proportional to 8,202.72, 12,287.64 and 3,814.08

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Solution

The fourth proportional to 8,202.72, 12,287.64 and 3,814.08 is: 5,713.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.72 : 12,287.64 = 3,814.08 : x
  2. Step 2: Convert to fraction form
    8,202.72/12,287.64 = 3,814.08/x
  3. Step 3: Cross multiply
    8,202.72x = 12,287.64 × 3,814.08
  4. Step 4: Simplify right side
    8,202.72x = 46,866,041.97
  5. Step 5: Solve for x
    x = 46,866,041.97/8,202.72
  6. Step 6: Final answer
    x = 5,713.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.