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Finding the Fourth Proportional to 2,420.70, 3,629.70 and 1,033.80

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Solution

The fourth proportional to 2,420.70, 3,629.70 and 1,033.80 is: 1,550.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.70 : 3,629.70 = 1,033.80 : x
  2. Step 2: Convert to fraction form
    2,420.70/3,629.70 = 1,033.80/x
  3. Step 3: Cross multiply
    2,420.70x = 3,629.70 × 1,033.80
  4. Step 4: Simplify right side
    2,420.70x = 3,752,383.86
  5. Step 5: Solve for x
    x = 3,752,383.86/2,420.70
  6. Step 6: Final answer
    x = 1,550.12

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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.