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Finding the Fourth Proportional to 2,191.64, 3,287.43 and 548.19

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Solution

The fourth proportional to 2,191.64, 3,287.43 and 548.19 is: 822.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.64 : 3,287.43 = 548.19 : x
  2. Step 2: Convert to fraction form
    2,191.64/3,287.43 = 548.19/x
  3. Step 3: Cross multiply
    2,191.64x = 3,287.43 × 548.19
  4. Step 4: Simplify right side
    2,191.64x = 1,802,136.25
  5. Step 5: Solve for x
    x = 1,802,136.25/2,191.64
  6. Step 6: Final answer
    x = 822.28

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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.