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Finding the Fourth Proportional to 3,836, 5,752.92 and 1,238.60

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Solution

The fourth proportional to 3,836, 5,752.92 and 1,238.60 is: 1,857.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836 : 5,752.92 = 1,238.60 : x
  2. Step 2: Convert to fraction form
    3,836/5,752.92 = 1,238.60/x
  3. Step 3: Cross multiply
    3,836x = 5,752.92 × 1,238.60
  4. Step 4: Simplify right side
    3,836x = 7,125,566.71
  5. Step 5: Solve for x
    x = 7,125,566.71/3,836
  6. Step 6: Final answer
    x = 1,857.55

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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.