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Finding the Fourth Proportional to 2,147.85, 2,964.26 and 1,203.68

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Solution

The fourth proportional to 2,147.85, 2,964.26 and 1,203.68 is: 1,661.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.85 : 2,964.26 = 1,203.68 : x
  2. Step 2: Convert to fraction form
    2,147.85/2,964.26 = 1,203.68/x
  3. Step 3: Cross multiply
    2,147.85x = 2,964.26 × 1,203.68
  4. Step 4: Simplify right side
    2,147.85x = 3,568,030.90
  5. Step 5: Solve for x
    x = 3,568,030.90/2,147.85
  6. Step 6: Final answer
    x = 1,661.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.