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Finding the Fourth Proportional to 2,937.39, 4,406.09 and 746.30

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Solution

The fourth proportional to 2,937.39, 4,406.09 and 746.30 is: 1,119.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.39 : 4,406.09 = 746.30 : x
  2. Step 2: Convert to fraction form
    2,937.39/4,406.09 = 746.30/x
  3. Step 3: Cross multiply
    2,937.39x = 4,406.09 × 746.30
  4. Step 4: Simplify right side
    2,937.39x = 3,288,244.80
  5. Step 5: Solve for x
    x = 3,288,244.80/2,937.39
  6. Step 6: Final answer
    x = 1,119.44

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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.