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Finding the Fourth Proportional to 3,744, 5,614.38 and 1,894.19

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Solution

The fourth proportional to 3,744, 5,614.38 and 1,894.19 is: 2,840.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744 : 5,614.38 = 1,894.19 : x
  2. Step 2: Convert to fraction form
    3,744/5,614.38 = 1,894.19/x
  3. Step 3: Cross multiply
    3,744x = 5,614.38 × 1,894.19
  4. Step 4: Simplify right side
    3,744x = 10,634,674.38
  5. Step 5: Solve for x
    x = 10,634,674.38/3,744
  6. Step 6: Final answer
    x = 2,840.46

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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.