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Finding the Fourth Proportional to 2,124.30, 3,185.37 and 737.49

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Solution

The fourth proportional to 2,124.30, 3,185.37 and 737.49 is: 1,105.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.30 : 3,185.37 = 737.49 : x
  2. Step 2: Convert to fraction form
    2,124.30/3,185.37 = 737.49/x
  3. Step 3: Cross multiply
    2,124.30x = 3,185.37 × 737.49
  4. Step 4: Simplify right side
    2,124.30x = 2,349,178.52
  5. Step 5: Solve for x
    x = 2,349,178.52/2,124.30
  6. Step 6: Final answer
    x = 1,105.86

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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.