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Finding the Fourth Proportional to 1,636.53, 2,257.09 and 1,077.09

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Solution

The fourth proportional to 1,636.53, 2,257.09 and 1,077.09 is: 1,485.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.53 : 2,257.09 = 1,077.09 : x
  2. Step 2: Convert to fraction form
    1,636.53/2,257.09 = 1,077.09/x
  3. Step 3: Cross multiply
    1,636.53x = 2,257.09 × 1,077.09
  4. Step 4: Simplify right side
    1,636.53x = 2,431,089.07
  5. Step 5: Solve for x
    x = 2,431,089.07/1,636.53
  6. Step 6: Final answer
    x = 1,485.51

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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.