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Finding the Fourth Proportional to 3,240, 4,857.42 and 1,291.68

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Solution

The fourth proportional to 3,240, 4,857.42 and 1,291.68 is: 1,936.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,240 : 4,857.42 = 1,291.68 : x
  2. Step 2: Convert to fraction form
    3,240/4,857.42 = 1,291.68/x
  3. Step 3: Cross multiply
    3,240x = 4,857.42 × 1,291.68
  4. Step 4: Simplify right side
    3,240x = 6,274,232.27
  5. Step 5: Solve for x
    x = 6,274,232.27/3,240
  6. Step 6: Final answer
    x = 1,936.49

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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.