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Finding the Fourth Proportional to 2,091.12, 3,136.44 and 552.24

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Solution

The fourth proportional to 2,091.12, 3,136.44 and 552.24 is: 828.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.12 : 3,136.44 = 552.24 : x
  2. Step 2: Convert to fraction form
    2,091.12/3,136.44 = 552.24/x
  3. Step 3: Cross multiply
    2,091.12x = 3,136.44 × 552.24
  4. Step 4: Simplify right side
    2,091.12x = 1,732,067.63
  5. Step 5: Solve for x
    x = 1,732,067.63/2,091.12
  6. Step 6: Final answer
    x = 828.30

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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.