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Finding the Fourth Proportional to 3,660.40, 5,460.41 and 3,385

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Solution

The fourth proportional to 3,660.40, 5,460.41 and 3,385 is: 5,049.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.40 : 5,460.41 = 3,385 : x
  2. Step 2: Convert to fraction form
    3,660.40/5,460.41 = 3,385/x
  3. Step 3: Cross multiply
    3,660.40x = 5,460.41 × 3,385
  4. Step 4: Simplify right side
    3,660.40x = 18,483,487.85
  5. Step 5: Solve for x
    x = 18,483,487.85/3,660.40
  6. Step 6: Final answer
    x = 5,049.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.