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Finding the Fourth Proportional to 3,653.79, 5,486.45 and 3,169.95

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Solution

The fourth proportional to 3,653.79, 5,486.45 and 3,169.95 is: 4,759.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.79 : 5,486.45 = 3,169.95 : x
  2. Step 2: Convert to fraction form
    3,653.79/5,486.45 = 3,169.95/x
  3. Step 3: Cross multiply
    3,653.79x = 5,486.45 × 3,169.95
  4. Step 4: Simplify right side
    3,653.79x = 17,391,756.33
  5. Step 5: Solve for x
    x = 17,391,756.33/3,653.79
  6. Step 6: Final answer
    x = 4,759.92

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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.