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Finding the Fourth Proportional to 2,783, 4,170.86 and 1,550.99

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Solution

The fourth proportional to 2,783, 4,170.86 and 1,550.99 is: 2,324.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783 : 4,170.86 = 1,550.99 : x
  2. Step 2: Convert to fraction form
    2,783/4,170.86 = 1,550.99/x
  3. Step 3: Cross multiply
    2,783x = 4,170.86 × 1,550.99
  4. Step 4: Simplify right side
    2,783x = 6,468,954.40
  5. Step 5: Solve for x
    x = 6,468,954.40/2,783
  6. Step 6: Final answer
    x = 2,324.45

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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.