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Finding the Fourth Proportional to 2,191.44, 3,287.28 and 548.16

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Solution

The fourth proportional to 2,191.44, 3,287.28 and 548.16 is: 822.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.44 : 3,287.28 = 548.16 : x
  2. Step 2: Convert to fraction form
    2,191.44/3,287.28 = 548.16/x
  3. Step 3: Cross multiply
    2,191.44x = 3,287.28 × 548.16
  4. Step 4: Simplify right side
    2,191.44x = 1,801,955.40
  5. Step 5: Solve for x
    x = 1,801,955.40/2,191.44
  6. Step 6: Final answer
    x = 822.27

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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.