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Finding the Fourth Proportional to 5,221.80, 7,832.74 and 1,326.22

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Solution

The fourth proportional to 5,221.80, 7,832.74 and 1,326.22 is: 1,989.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.80 : 7,832.74 = 1,326.22 : x
  2. Step 2: Convert to fraction form
    5,221.80/7,832.74 = 1,326.22/x
  3. Step 3: Cross multiply
    5,221.80x = 7,832.74 × 1,326.22
  4. Step 4: Simplify right side
    5,221.80x = 10,387,936.44
  5. Step 5: Solve for x
    x = 10,387,936.44/5,221.80
  6. Step 6: Final answer
    x = 1,989.34

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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.