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Finding the Fourth Proportional to 3,798.61, 5,687.42 and 1,945.73

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Solution

The fourth proportional to 3,798.61, 5,687.42 and 1,945.73 is: 2,913.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.61 : 5,687.42 = 1,945.73 : x
  2. Step 2: Convert to fraction form
    3,798.61/5,687.42 = 1,945.73/x
  3. Step 3: Cross multiply
    3,798.61x = 5,687.42 × 1,945.73
  4. Step 4: Simplify right side
    3,798.61x = 11,066,188.21
  5. Step 5: Solve for x
    x = 11,066,188.21/3,798.61
  6. Step 6: Final answer
    x = 2,913.22

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1.5x scale

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.