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Finding the Fourth Proportional to 2,124.38, 3,185.79 and 737.34

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Solution

The fourth proportional to 2,124.38, 3,185.79 and 737.34 is: 1,105.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.38 : 3,185.79 = 737.34 : x
  2. Step 2: Convert to fraction form
    2,124.38/3,185.79 = 737.34/x
  3. Step 3: Cross multiply
    2,124.38x = 3,185.79 × 737.34
  4. Step 4: Simplify right side
    2,124.38x = 2,349,010.40
  5. Step 5: Solve for x
    x = 2,349,010.40/2,124.38
  6. Step 6: Final answer
    x = 1,105.74

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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.