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Finding the Fourth Proportional to 3,418.84, 5,128.31 and 1,078.75

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Solution

The fourth proportional to 3,418.84, 5,128.31 and 1,078.75 is: 1,618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.84 : 5,128.31 = 1,078.75 : x
  2. Step 2: Convert to fraction form
    3,418.84/5,128.31 = 1,078.75/x
  3. Step 3: Cross multiply
    3,418.84x = 5,128.31 × 1,078.75
  4. Step 4: Simplify right side
    3,418.84x = 5,532,164.41
  5. Step 5: Solve for x
    x = 5,532,164.41/3,418.84
  6. Step 6: Final answer
    x = 1,618.14

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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.