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Finding the Fourth Proportional to 2,562.54, 3,844.56 and 1,782.20

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Solution

The fourth proportional to 2,562.54, 3,844.56 and 1,782.20 is: 2,673.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.54 : 3,844.56 = 1,782.20 : x
  2. Step 2: Convert to fraction form
    2,562.54/3,844.56 = 1,782.20/x
  3. Step 3: Cross multiply
    2,562.54x = 3,844.56 × 1,782.20
  4. Step 4: Simplify right side
    2,562.54x = 6,851,791.13
  5. Step 5: Solve for x
    x = 6,851,791.13/2,562.54
  6. Step 6: Final answer
    x = 2,673.83

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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.