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Finding the Fourth Proportional to 3,238.60, 4,859.90 and 1,290.60

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Solution

The fourth proportional to 3,238.60, 4,859.90 and 1,290.60 is: 1,936.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.60 : 4,859.90 = 1,290.60 : x
  2. Step 2: Convert to fraction form
    3,238.60/4,859.90 = 1,290.60/x
  3. Step 3: Cross multiply
    3,238.60x = 4,859.90 × 1,290.60
  4. Step 4: Simplify right side
    3,238.60x = 6,272,186.94
  5. Step 5: Solve for x
    x = 6,272,186.94/3,238.60
  6. Step 6: Final answer
    x = 1,936.70

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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.