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Finding the Fourth Proportional to 3,644.25, 5,029.07 and 1,988.25

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Solution

The fourth proportional to 3,644.25, 5,029.07 and 1,988.25 is: 2,743.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.25 : 5,029.07 = 1,988.25 : x
  2. Step 2: Convert to fraction form
    3,644.25/5,029.07 = 1,988.25/x
  3. Step 3: Cross multiply
    3,644.25x = 5,029.07 × 1,988.25
  4. Step 4: Simplify right side
    3,644.25x = 9,999,048.43
  5. Step 5: Solve for x
    x = 9,999,048.43/3,644.25
  6. Step 6: Final answer
    x = 2,743.79

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1.5x scale

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.