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Finding the Fourth Proportional to 2,057.04, 3,085.20 and 823.52

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Solution

The fourth proportional to 2,057.04, 3,085.20 and 823.52 is: 1,235.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.04 : 3,085.20 = 823.52 : x
  2. Step 2: Convert to fraction form
    2,057.04/3,085.20 = 823.52/x
  3. Step 3: Cross multiply
    2,057.04x = 3,085.20 × 823.52
  4. Step 4: Simplify right side
    2,057.04x = 2,540,723.90
  5. Step 5: Solve for x
    x = 2,540,723.90/2,057.04
  6. Step 6: Final answer
    x = 1,235.14

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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.