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Finding the Fourth Proportional to 3,105.88, 4,287.13 and 1,988.48

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Solution

The fourth proportional to 3,105.88, 4,287.13 and 1,988.48 is: 2,744.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.88 : 4,287.13 = 1,988.48 : x
  2. Step 2: Convert to fraction form
    3,105.88/4,287.13 = 1,988.48/x
  3. Step 3: Cross multiply
    3,105.88x = 4,287.13 × 1,988.48
  4. Step 4: Simplify right side
    3,105.88x = 8,524,878.01
  5. Step 5: Solve for x
    x = 8,524,878.01/3,105.88
  6. Step 6: Final answer
    x = 2,744.76

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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.