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Finding the Fourth Proportional to 1,937.39, 2,903.67 and 949.39

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Solution

The fourth proportional to 1,937.39, 2,903.67 and 949.39 is: 1,422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.39 : 2,903.67 = 949.39 : x
  2. Step 2: Convert to fraction form
    1,937.39/2,903.67 = 949.39/x
  3. Step 3: Cross multiply
    1,937.39x = 2,903.67 × 949.39
  4. Step 4: Simplify right side
    1,937.39x = 2,756,708.00
  5. Step 5: Solve for x
    x = 2,756,708.00/1,937.39
  6. Step 6: Final answer
    x = 1,422.90

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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.