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Finding the Fourth Proportional to 5,284.80, 7,922.72 and 1,996.08

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Solution

The fourth proportional to 5,284.80, 7,922.72 and 1,996.08 is: 2,992.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,284.80 : 7,922.72 = 1,996.08 : x
  2. Step 2: Convert to fraction form
    5,284.80/7,922.72 = 1,996.08/x
  3. Step 3: Cross multiply
    5,284.80x = 7,922.72 × 1,996.08
  4. Step 4: Simplify right side
    5,284.80x = 15,814,382.94
  5. Step 5: Solve for x
    x = 15,814,382.94/5,284.80
  6. Step 6: Final answer
    x = 2,992.43

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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.