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Finding the Fourth Proportional to 2,509.93, 3,765 and 949.78

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Solution

The fourth proportional to 2,509.93, 3,765 and 949.78 is: 1,424.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.93 : 3,765 = 949.78 : x
  2. Step 2: Convert to fraction form
    2,509.93/3,765 = 949.78/x
  3. Step 3: Cross multiply
    2,509.93x = 3,765 × 949.78
  4. Step 4: Simplify right side
    2,509.93x = 3,575,921.70
  5. Step 5: Solve for x
    x = 3,575,921.70/2,509.93
  6. Step 6: Final answer
    x = 1,424.71

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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.