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Finding the Fourth Proportional to 2,185.52, 3,016.02 and 1,190.78

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Solution

The fourth proportional to 2,185.52, 3,016.02 and 1,190.78 is: 1,643.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.52 : 3,016.02 = 1,190.78 : x
  2. Step 2: Convert to fraction form
    2,185.52/3,016.02 = 1,190.78/x
  3. Step 3: Cross multiply
    2,185.52x = 3,016.02 × 1,190.78
  4. Step 4: Simplify right side
    2,185.52x = 3,591,416.30
  5. Step 5: Solve for x
    x = 3,591,416.30/2,185.52
  6. Step 6: Final answer
    x = 1,643.28

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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.