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Finding the Fourth Proportional to 3,752.94, 5,629.56 and 1,412.70

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Solution

The fourth proportional to 3,752.94, 5,629.56 and 1,412.70 is: 2,119.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.94 : 5,629.56 = 1,412.70 : x
  2. Step 2: Convert to fraction form
    3,752.94/5,629.56 = 1,412.70/x
  3. Step 3: Cross multiply
    3,752.94x = 5,629.56 × 1,412.70
  4. Step 4: Simplify right side
    3,752.94x = 7,952,879.41
  5. Step 5: Solve for x
    x = 7,952,879.41/3,752.94
  6. Step 6: Final answer
    x = 2,119.11

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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.