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Finding the Fourth Proportional to 2,555.12, 3,523.56 and 1,622

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Solution

The fourth proportional to 2,555.12, 3,523.56 and 1,622 is: 2,236.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555.12 : 3,523.56 = 1,622 : x
  2. Step 2: Convert to fraction form
    2,555.12/3,523.56 = 1,622/x
  3. Step 3: Cross multiply
    2,555.12x = 3,523.56 × 1,622
  4. Step 4: Simplify right side
    2,555.12x = 5,715,214.32
  5. Step 5: Solve for x
    x = 5,715,214.32/2,555.12
  6. Step 6: Final answer
    x = 2,236.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.