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Finding the Fourth Proportional to 2,616.68, 3,923.87 and 1,230.41

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Solution

The fourth proportional to 2,616.68, 3,923.87 and 1,230.41 is: 1,845.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.68 : 3,923.87 = 1,230.41 : x
  2. Step 2: Convert to fraction form
    2,616.68/3,923.87 = 1,230.41/x
  3. Step 3: Cross multiply
    2,616.68x = 3,923.87 × 1,230.41
  4. Step 4: Simplify right side
    2,616.68x = 4,827,972.54
  5. Step 5: Solve for x
    x = 4,827,972.54/2,616.68
  6. Step 6: Final answer
    x = 1,845.07

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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.