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Finding the Fourth Proportional to 3,418.34, 5,128.29 and 1,774.52

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Solution

The fourth proportional to 3,418.34, 5,128.29 and 1,774.52 is: 2,662.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.34 : 5,128.29 = 1,774.52 : x
  2. Step 2: Convert to fraction form
    3,418.34/5,128.29 = 1,774.52/x
  3. Step 3: Cross multiply
    3,418.34x = 5,128.29 × 1,774.52
  4. Step 4: Simplify right side
    3,418.34x = 9,100,227.53
  5. Step 5: Solve for x
    x = 9,100,227.53/3,418.34
  6. Step 6: Final answer
    x = 2,662.18

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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.