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Finding the Fourth Proportional to 1,937.81, 2,904.41 and 1,349.62

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Solution

The fourth proportional to 1,937.81, 2,904.41 and 1,349.62 is: 2,022.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.81 : 2,904.41 = 1,349.62 : x
  2. Step 2: Convert to fraction form
    1,937.81/2,904.41 = 1,349.62/x
  3. Step 3: Cross multiply
    1,937.81x = 2,904.41 × 1,349.62
  4. Step 4: Simplify right side
    1,937.81x = 3,919,856.87
  5. Step 5: Solve for x
    x = 3,919,856.87/1,937.81
  6. Step 6: Final answer
    x = 2,022.83

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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.