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Finding the Fourth Proportional to 3,240, 4,860 and 3,101.49

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Solution

The fourth proportional to 3,240, 4,860 and 3,101.49 is: 4,652.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,240 : 4,860 = 3,101.49 : x
  2. Step 2: Convert to fraction form
    3,240/4,860 = 3,101.49/x
  3. Step 3: Cross multiply
    3,240x = 4,860 × 3,101.49
  4. Step 4: Simplify right side
    3,240x = 15,073,241.40
  5. Step 5: Solve for x
    x = 15,073,241.40/3,240
  6. Step 6: Final answer
    x = 4,652.24

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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.