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Finding the Fourth Proportional to 3,675.71, 5,512.98 and 1,078.04

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Solution

The fourth proportional to 3,675.71, 5,512.98 and 1,078.04 is: 1,616.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.71 : 5,512.98 = 1,078.04 : x
  2. Step 2: Convert to fraction form
    3,675.71/5,512.98 = 1,078.04/x
  3. Step 3: Cross multiply
    3,675.71x = 5,512.98 × 1,078.04
  4. Step 4: Simplify right side
    3,675.71x = 5,943,212.96
  5. Step 5: Solve for x
    x = 5,943,212.96/3,675.71
  6. Step 6: Final answer
    x = 1,616.89

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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.